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Studies of fibred complex surfaces from diversified perspectives

Research Project

Project/Area Number 24244002
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionOsaka University

Principal Investigator

Konno Kazuhiro  大阪大学, 理学研究科, 教授 (10186869)

Co-Investigator(Kenkyū-buntansha) 大渕 朗  徳島大学, その他の研究科, 教授 (10211111)
徳永 浩雄  首都大学東京, 理工学研究科, 教授 (30211395)
小木曽 啓示  東京大学, 数理(科)学研究科(研究院), 教授 (40224133)
臼井 三平  大阪大学, その他部局等, 名誉教授 (90117002)
足利 正  東北学院大学, 工学部, 教授 (90125203)
Project Period (FY) 2012-05-31 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥22,360,000 (Direct Cost: ¥17,200,000、Indirect Cost: ¥5,160,000)
Fiscal Year 2016: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2014: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2012: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Keywords代数曲線束 / 堀川指数 / 自己同型 / 楕円曲面 / 対数的混合ホッジ構造 / 原始的双有理変換 / 自己同型群 / 代数学 / 代数曲線 / 特異ファイバー / 退化族 / 局所不変量 / Zariski対 / ホッジ理論 / モノドロミー / オービフォールド特性類 / モーデル・ヴェイユ格子
Outline of Final Research Achievements

Smooth projective algebraic surfaces with a fibration over a smooth projective curve are studied through the local analytic or topological invariants such as Horikawa index and local signature. We gave an explicit formula for them for non-hyperelliptic genus 3 fibrations. Also we studied plane curve arrangements through multiple sections of relative Jacobian varieties (of small genus) and produced new examples of Zariski pairs.

Report

(6 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • 2012 Annual Research Report
  • Research Products

    (104 results)

All 2017 2016 2015 2014 2013 2012 Other

All Journal Article (36 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 35 results,  Acknowledgement Compliant: 3 results,  Open Access: 8 results) Presentation (62 results) (of which Int'l Joint Research: 5 results,  Invited: 61 results) Book (4 results) Funded Workshop (2 results)

  • [Journal Article] Certain normal surface singularities of general type2017

    • Author(s)
      Kazuhiro Konno
    • Journal Title

      Methods and Applications of Analysis

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Elliptic surfaces and contact conics for a 3-nodal quartic2017

    • Author(s)
      Hiro-o Tokunaga and K. Tumenbayar
    • Journal Title

      Hokkaido Math. J.

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A criterion for the primitivity of a birational automorphism of a Calabi-Yau manifold and an application2017

    • Author(s)
      Keiji Oguiso
    • Journal Title

      Math. Res. Lett.

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Isomorphic quartic K3 surfaces in the view of Cremona and projective transformations2017

    • Author(s)
      Keiji Oguiso
    • Journal Title

      Taiwanese J. Math.

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Extended period domains, algebraic groups, and higher Albanese manifolds2017

    • Author(s)
      Kato, K., Nakayama, C. and Usui, S.
    • Journal Title

      Higher Education Press in China and International Press in USA

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures IV: The fundamental diagram2017

    • Author(s)
      Kato, K., Nakayama, C. and Usui, S.
    • Journal Title

      Kyoto J. Math.

      Volume: 印刷中

    • NAID

      120006732768

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Automorphisms of elliptic K3 surfaces and Salem numbers of maximal degree2016

    • Author(s)
      H. Esnault, K. Oguiso and X. Yu
    • Journal Title

      Algebraic Geometry

      Volume: 3 Pages: 496-507

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Studies of closed/open mirror symmetry for quintic threefold through log mixed Hodge theory2016

    • Author(s)
      Usui, S
    • Journal Title

      Recent Advances in Hodge theory, London Math. Soc. Lect. Note

      Volume: 427 Pages: 134-164

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On automorphisms of the punctual Hilbert schemes of K3 surfaces2016

    • Author(s)
      Keiji Oguiso
    • Journal Title

      European J. Math.

      Volume: 2 Pages: 246-261

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Studies of closed/open mirror symmetry for quintic threefold through log mixed Hodge theory2016

    • Author(s)
      Sampei Usui
    • Journal Title

      Recent Advances in Hodge Theory, London Math. Society Lect. Note

      Volume: 427 Pages: 134-164

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on smooth multiple fibers in pencils of algebraic curves2015

    • Author(s)
      Kazuhiro Konno
    • Journal Title

      Nihonkai Mathematical Journal

      Volume: 26 Pages: 103-120

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Toric modifications of cyclic orbifolds and extended Zagier reciprocity foe Dedekind sums2015

    • Author(s)
      Tadashi Ashikaga
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 67 Pages: 323-347

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Geometry of bisections of elliptic surfaces and Zariski N-plets for conic arrangements2015

    • Author(s)
      Shinzo Bannai and Hiro-o Tokunaga
    • Journal Title

      Geometria Dedicata

      Volume: 未定 Issue: 1 Pages: 219-237

    • DOI

      10.1007/s10711-015-0054-z

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Integral section of elliptic surfaces and degenerated $(2, 3)$ torus decompositions of a $3$-cuspidal quartic2015

    • Author(s)
      Hiro-o Tokunaga and K. Tumenbayar
    • Journal Title

      SUT J. of Math.

      Volume: 51 Pages: 215-226

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Explicit examples of rational and Calabi-Yau threefolds with primitive automorphisms of positive entropy2015

    • Author(s)
      K. Oguiso, T. T. Truong
    • Journal Title

      Journal of Mathematical Sciences, the University of Tokyo

      Volume: 22 Pages: 361-385

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Explicit examples of rational and Calabi-Yau threefolds with primi tive automorphisms of positive entropy2015

    • Author(s)
      K. Oguiso and T. T. Truong
    • Journal Title

      J. Math. Sci. Univ. Tokyo

      Volume: 22 Pages: 361-385

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Automorphism group of planecurve computedby Galois points2014

    • Author(s)
      Ohbuchi,A.
    • Journal Title

      Beitr Algebra Geom

      Volume: in press Issue: 2 Pages: 695-702

    • DOI

      10.1007/s13366-013-0181-3

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers2014

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 66 Issue: 2 Pages: 613-640

    • DOI

      10.2969/jmsj/06620613

    • NAID

      130003394372

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2014 Annual Research Report 2012 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] The Weierstrass semigroups on double covers of genus two curves2014

    • Author(s)
      Takeshi Harui, Jiryo Komeda and Akira Ohbuchi
    • Journal Title

      Tsukuba J. Math.

      Volume: 38 Pages: 201-206

    • NAID

      120006772024

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Log Hodge theoretic formulation of mirror symmetry for Calabi-Yau threefolds2014

    • Author(s)
      Sampei Usui
    • Journal Title

      Vietnam J. Math.

      Volume: 42 Issue: 3 Pages: 345-363

    • DOI

      10.1007/s10013-014-0085-z

    • NAID

      120006732767

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Summary of studies of closed/open mirror symmetry for quintic threefold through log mixed Hodge theory2014

    • Author(s)
      Sampei Usui
    • Journal Title

      RIMS Kokyuroku

      Volume: 1918 Pages: 161-176

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Unirationality of Ueno-Campana's threefold2014

    • Author(s)
      F. Catanese, K. Oguiso and T. T. Truong
    • Journal Title

      Manuscripta Math.

      Volume: 145 Issue: 3-4 Pages: 399-406

    • DOI

      10.1007/s00229-014-0680-z

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Salem numbers in dynamics on Kaehler threefolds and complex tori2014

    • Author(s)
      K. Oguiso and T. T. Truong
    • Journal Title

      Math. Z.

      Volume: 278 Issue: 1-2 Pages: 93-117

    • DOI

      10.1007/s00209-014-1307-5

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Automorphism group of plane curve computed by Galois points2014

    • Author(s)
      Miura, K. Ohbuchi, A.
    • Journal Title

      Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry

      Volume: -

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sections of elliptic surfaces and Zariski pairs for conic-line arrangements via dihedral covers2014

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      J. Math. Soc. Japan

      Volume: -

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Neron models for admissible normal functions2014

    • Author(s)
      Kato, K., Nakayama, C. and Usui, S.
    • Journal Title

      Proc. Janan Acad., Ser. A

      Volume: 90 Pages: 6-10

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Automorphisms of Calabi-Yau threefolds with Picard number three2014

    • Author(s)
      Vladimir Lazic, Keiji Oguiso, Thomas Peternell
    • Journal Title

      Adv. Study Pure Math.

      Volume: -

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Salem numbers in dynamics on Kahler threefolds and complex tori2014

    • Author(s)
      K. Oguiso, T. T. Truong
    • Journal Title

      Math. Zeit.

      Volume: -

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Automorphism groups of Calabi-Yau manifolds of Picard number two2014

    • Author(s)
      Keiji Oguiso
    • Journal Title

      Journal of Algebraic Geometry

      Volume: -

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits2014

    • Author(s)
      K. Kato, C. Nakayama and S. Usui
    • Journal Title

      J. Algebraic Geometry

      Volume: -

    • NAID

      120006732765

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits2013

    • Author(s)
      Kato, K., Nakayama, C. and Usui, S.
    • Journal Title

      J. Algebraic Geometry

      Volume: 22 Pages: 671-772

    • NAID

      120006732765

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Quartic K3 surfaces and Cremona transformations2013

    • Author(s)
      Keiji Oguiso
    • Journal Title

      Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds, Fields Institute Communications

      Volume: 67 Pages: 455-460

    • Related Report
      2013 Annual Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the Yau cycle of a normal surface singularity2012

    • Author(s)
      Kazuhiro Konno
    • Journal Title

      Asian J. of Math.

      Volume: 16 Pages: 279-298

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some sections on rational elliptic surfaces and certain special conic-quartic configurations2012

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      Kodai Math. J.

      Volume: 35 Pages: 78-104

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on quadratic residue curves on rational ruled surfaces2012

    • Author(s)
      Hiro-o Tokunaga
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 63 Pages: 565-577

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weierstrass gap sequences at points of curves on some rational surfaces2012

    • Author(s)
      Akira Ohbuchi and J. Komeda
    • Journal Title

      Tsukuba Journal of Math.

      Volume: 36 Pages: 217-233

    • NAID

      120006582861

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Presentation] Horikawa index of genus three via signature divisor2017

    • Author(s)
      T. Ashikaga
    • Organizer
      Mini workshop ''Fibered Varieties" in honor of Prof. M. A. Barja
    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-22
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Higher Albanese manifolds and their parial compactifications (with K. Kato and C. Nakayama)2017

    • Author(s)
      臼井三平
    • Organizer
      代数幾何学ミニワークショップ
    • Place of Presentation
      八千代プラザ
    • Year and Date
      2017-01-07
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Higher dimensional manifolds with primitive birational automorphisms of first dynamical degree > 12016

    • Author(s)
      Keiji Oguiso
    • Organizer
      the Legacy of Emmy Noether and Goettingen Mathematics
    • Place of Presentation
      Yau Math. Sci. Center, Sanya, China
    • Year and Date
      2016-12-19
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Horikawa index of genus 3 and hyperelliptic multiplicity2016

    • Author(s)
      足利 正
    • Organizer
      代数曲線・曲面とその周辺 (Ohbuchi 60)
    • Place of Presentation
      大阪大学
    • Year and Date
      2016-11-26
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On compactifications of higher Albanese varieties (joint with K. Kato, C. Nakayama)2016

    • Author(s)
      臼井三平
    • Organizer
      射影多様体の幾何とその周辺2016
    • Place of Presentation
      高知工科大学
    • Year and Date
      2016-10-09
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] A remark on the topology of reducible cruves2016

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      Seminario de Geometria y Topologia
    • Place of Presentation
      Universidad de Zaragoza
    • Year and Date
      2016-09-27
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Higher dimensional projective manifolds with primitive automorphisms of positive entropy2016

    • Author(s)
      Keiji Oguiso
    • Organizer
      Cremona conference
    • Place of Presentation
      Basel, Swissland
    • Year and Date
      2016-09-12
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Canonical surfaces of degree 3n-3 in projective n-space2016

    • Author(s)
      Kazuhiro Konno
    • Organizer
      Algebraic Geometry Seminar
    • Place of Presentation
      East China Normal University
    • Year and Date
      2016-09-06
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Horikawa index of genus three via signature divisor2016

    • Author(s)
      T. Ashikaga
    • Organizer
      Algebraic Geometry Seminar
    • Place of Presentation
      East China Normal University
    • Year and Date
      2016-09-06
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On the topology of reducible plane curves2016

    • Author(s)
      徳永浩雄
    • Organizer
      Tsuda College and OIST joint workshop on Calabi-Yau varieties
    • Place of Presentation
      津田塾大学
    • Year and Date
      2016-08-01
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Canonical surfaces of degree 3n-3 in projective n-space2016

    • Author(s)
      今野一宏
    • Organizer
      第13回代数曲面ワークショップ
    • Place of Presentation
      高知工科大学
    • Year and Date
      2016-07-02
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] A remark on the topology of reducible plane curves2016

    • Author(s)
      徳永浩雄
    • Organizer
      第13回代数曲面ワークショップ
    • Place of Presentation
      高知工科大学
    • Year and Date
      2016-07-02
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Birational geometry through complex dynamics2016

    • Author(s)
      Keiji Oguiso
    • Organizer
      The 7th Pacific RIM Conference
    • Place of Presentation
      Seoul National University
    • Year and Date
      2016-06-27
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Extended period domains and algebraic groups (with K. Kato and C. Nakayama)2016

    • Author(s)
      Sampei Usui
    • Organizer
      Algebraic cycles and moduli
    • Place of Presentation
      Montreal, Canada
    • Year and Date
      2016-06-04
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 平面6次曲線と標準曲面2016

    • Author(s)
      今野一宏
    • Organizer
      第11回 代数・解析・幾何学セミナー
    • Place of Presentation
      鹿児島大学理学部
    • Year and Date
      2016-02-15
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] A certain intersection number on moduli space of genus 3 and Horikawa index2016

    • Author(s)
      足利正
    • Organizer
      代数曲面ワークショップ
    • Place of Presentation
      首都大学東京秋葉原サテライトキャンパス
    • Year and Date
      2016-02-06
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Integral sections of rational elliptic surfaces and contact conics to $3$-nodal quartics2015

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      Various Aspects of Algebraic Geometry
    • Place of Presentation
      国際基督教大学
    • Year and Date
      2015-12-13
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Primitive automorphisms of projective hyperkaehler 4- folds and Calabi-Yau 4-folds2015

    • Author(s)
      K. Oguiso
    • Organizer
      RIMS Workshop on Complex Dynamics 2015
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-12-07
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Extended period domains and algebraic groups (with K. Kato, C. Nakayama)2015

    • Author(s)
      Sampei Usui
    • Organizer
      The 3rd Franco-Japanese-Vietnamese Symposium of Singularities
    • Place of Presentation
      Institute of Mathematics, Vietnam Academy of Science and Technology (Hanoi, Vietnam)
    • Year and Date
      2015-12-03
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Another realizaion of Birman-Hilden relation via hyperellptic splitting family2015

    • Author(s)
      Tadashi Ashikaga
    • Organizer
      Topology and singularities
    • Place of Presentation
      Gakushuin Univ.
    • Year and Date
      2015-10-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Integral sections of rational elliptic surfaces and contact conics to an irreducible 3-nodal quartic2015

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      Geometry, Topology and Combinatorics of Hyperplane Arrangements and Related Problems
    • Place of Presentation
      Universidad de Zaragoza (Zaragoza, Spain)
    • Year and Date
      2015-09-18
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 一般型代数曲面の多重標準写像と標準環2015

    • Author(s)
      今野一宏
    • Organizer
      第60回代数学シンポジウム
    • Place of Presentation
      静岡大学
    • Year and Date
      2015-09-01
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Simple abelian varieties and primitive automorphisms of null entropy of surfaces2015

    • Author(s)
      K. Oguiso
    • Organizer
      Workshop in Dynamics and Geometry
    • Place of Presentation
      KIAS (Seoul, Korea)
    • Year and Date
      2015-08-17
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Torres の定理の拡張について2015

    • Author(s)
      大渕朗
    • Organizer
      ホッジ理論と代数幾何学
    • Place of Presentation
      東京電機大学
    • Year and Date
      2015-08-07
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Automorphisms of elliptic K3 surfaces and Salem numbers of maximal degree2015

    • Author(s)
      Keiji Oguiso
    • Organizer
      Algebraic Geometry, dedicated to Fab rizio Catanese on the occasion of his 65th birthday
    • Place of Presentation
      University of Bayreuth, Germany
    • Year and Date
      2015-03-12 – 2015-03-14
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 種数3のファイバー芽の堀川指数とアイヒラー型跡公式2015

    • Author(s)
      足利正
    • Organizer
      第2回代数幾何学研究集会宇部
    • Place of Presentation
      宇部高専
    • Year and Date
      2015-01-24
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Studies of closed/open mirror symmetry for quintic threefold through log mixed Hodge theory2014

    • Author(s)
      Sampei Usui
    • Organizer
      Algebraic Geometry Seminar
    • Place of Presentation
      Johns Hopkins University
    • Year and Date
      2014-11-20
    • Related Report
      2014 Annual Research Report
  • [Presentation] 小山2重点について2014

    • Author(s)
      今野一宏
    • Organizer
      代数多様体とその周辺
    • Place of Presentation
      琉球大学理学部
    • Year and Date
      2014-09-30
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Studies of closed/open mirror symmetry for quintic threefold through log mixed Hodge theory2014

    • Author(s)
      臼井三平
    • Organizer
      研究集会「代数多様体とその周辺」
    • Place of Presentation
      琉球大学理学部
    • Year and Date
      2014-09-29
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Algebro-geometric aspects of complex dynamics2014

    • Author(s)
      Keiji Oguiso
    • Organizer
      Symmetries of Kaehler manifolds, dynamics and moduli spaces
    • Place of Presentation
      SISSA, Trieste, Italy
    • Year and Date
      2014-09-22 – 2014-09-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Zariski N-plets for arrangements of plane curves of low degree and rational elliptic surfaces2014

    • Author(s)
      Hiro-o Tokunaga
    • Organizer
      The 1st Workshop of JSPS-MAE Sakura Program
    • Place of Presentation
      北海道大学
    • Year and Date
      2014-09-01
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Horikawa index of genus 3 with periodic monodromy via Eicjler's trace formula2014

    • Author(s)
      足利正
    • Organizer
      リーマン面に関する位相 幾何学2014
    • Place of Presentation
      東京大学
    • Year and Date
      2014-08-25
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] The automorphism group of the punctural Hilbert scheme of a Cayley 's K3 surface and related topics2014

    • Author(s)
      Keiji Oguiso
    • Organizer
      Complex Analysis and Geometry - A conference in honour of Professo r Doctor Thomas Peternell's upcoming 60th birthday
    • Place of Presentation
      Freiburg, Germany
    • Year and Date
      2014-08-21 – 2014-08-23
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 一般型代数曲面の地誌学入門2014

    • Author(s)
      今野一宏
    • Organizer
      Encounter with Mathematics, 第61回 代数曲面とその位相不変量をめぐって ~代数曲面の地誌学~
    • Place of Presentation
      中央大学理工学部
    • Year and Date
      2014-06-21
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Severiの不等式2014

    • Author(s)
      今野一宏
    • Organizer
      Encounter with Mathematics, 第61回 代数曲面とその位相不変量をめぐって ~代数曲面の地誌学~
    • Place of Presentation
      中央大学理工学部
    • Year and Date
      2014-06-21
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 有理楕円曲面上のsection及びbisectionの幾何2014

    • Author(s)
      徳永浩雄
    • Organizer
      函館数論幾何ワークショップ
    • Place of Presentation
      函館中央図書館
    • Year and Date
      2014-05-27
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Automorphism groups of compact kyperkaehler manifolds of small Picard numbers2014

    • Author(s)
      Keiji Oguiso
    • Organizer
      Arithmetic and Algebraic Geometry
    • Place of Presentation
      University of Tokyo, Japan
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On the fixed part of a non-special linear system over a normal surface singularity2013

    • Author(s)
      今野一宏
    • Organizer
      Classification of Algebraic Varieties and Related Topics
    • Place of Presentation
      Cetraro, Italy
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Torres の強DC 条件について2013

    • Author(s)
      大渕朗
    • Organizer
      代数幾何小研究集会
    • Place of Presentation
      新潟大学駅南キャンパスときめいと講義室B
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Smooth Quartic K3 Surfaces and Cremona Transformations2013

    • Author(s)
      Keiji Oguiso
    • Organizer
      Algebraic and Complex Geometry at the Second Pacific Rim Mathematical Association (PRIMA) Congress
    • Place of Presentation
      Shanghai Jiao Tong University, China.
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Explicit examples of rational and Calabi-Yau threefolds with primitive automorphisms of positive entropy2013

    • Author(s)
      Keiji Oguiso
    • Organizer
      Classification of Algebraic Varieties and related topics
    • Place of Presentation
      Grand Hotel San Michele, Cetraro, Italy
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] On some example of automorphisms with positive entrropy 1, 2.2013

    • Author(s)
      Keiji Oguiso
    • Organizer
      Categories and Complexity
    • Place of Presentation
      Wien University, Wien
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Smooth quartic K3 surfaces and cremona transformations2013

    • Author(s)
      Keiji Oguiso
    • Organizer
      Higher Dimensional Algebraic Geometry in honour of Professor Yujiro Kawamata's sixtieth birthday
    • Place of Presentation
      東京大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Log Hodge theoretic formulation of mirror symmetry for Calabi-Yau threefolds2013

    • Author(s)
      Sampei Usui
    • Organizer
      Arithmetic, Cycles, Motives and Algebraic Geometry
    • Place of Presentation
      Universidad Nacional Autonoma de Mexico (Mexico)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Numerical invariants of fibred algebraic surfaces2012

    • Author(s)
      今野一宏
    • Organizer
      特異点と多様体の幾何学2012
    • Place of Presentation
      山形大学理学部
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 楕円曲面上の演算を利用した平面曲線の構成とその応用2012

    • Author(s)
      徳永浩雄
    • Organizer
      特異点と多様体の幾何学2012
    • Place of Presentation
      山形大学理学部
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Geometry of sections of certain rational elliptic surfaces and its application2012

    • Author(s)
      徳永浩雄
    • Organizer
      代数幾何学城崎シンポジウム
    • Place of Presentation
      兵庫県豊岡市
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Toric modification of cyclic orbifolds and extened Zagier reciprocity for Dedekin sums2012

    • Author(s)
      足利正
    • Organizer
      代数学シンポジウム
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 巡回商特異点のある解消プロセスとその例外集合2012

    • Author(s)
      足利正
    • Organizer
      Encounter with Mathematics 第59回
    • Place of Presentation
      中央大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Birational automorphism groups of Calabi-Yau manifolds of Picard number 22012

    • Author(s)
      Keiji Oguiso
    • Organizer
      Interactions between continuous and discrete holomorphic dynamical systems
    • Place of Presentation
      Banff (Canada)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Automorphism groups of Calabi-Yau manifolds of Picard number two2012

    • Author(s)
      Keiji Oguiso
    • Organizer
      Algebraic and complex geometry - a conference on the occasion of Klaus Hulek's 60-th birthday
    • Place of Presentation
      Hannover (Germany)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 代数曲線とクリフォード指数について2012

    • Author(s)
      大渕朗
    • Organizer
      代数学シンポジウム
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Studying mirror symmetry through log mixed Hodge theory2012

    • Author(s)
      Sampei Usui
    • Organizer
      Hodge Theory, Complex Geometry, and Representation Theory
    • Place of Presentation
      Texas Christian University (USA)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] A study of mirror symmetry through log mixed Hodge theory2012

    • Author(s)
      臼井三平
    • Organizer
      特異点 と多様体の幾何学2012
    • Place of Presentation
      山形大学理学部
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Higher-dimensional continued fractions for cyclic orbifold and Dedekind sums

    • Author(s)
      足利正
    • Organizer
      射影多様体の幾何とその周辺2013
    • Place of Presentation
      高知大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 2 次元連分数の子孫項に伴う有理 Chow 環と Fourier-Dedekind 和

    • Author(s)
      足利正
    • Organizer
      代数幾何学ミニワークショプ
    • Place of Presentation
      兵庫県多可町
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Elliptic surfaces and Zariski pairs for conic-line arrangements

    • Author(s)
      徳永浩雄
    • Organizer
      Joint international meeting of American Math. Soc. and Romania Math. Soc
    • Place of Presentation
      Alba-Iulia (Romania)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Geometry of sections of elliptic surfaces and its applicaitons

    • Author(s)
      徳永浩雄
    • Organizer
      1st Franco-Japanese-Vietnamese Symposium on Singularities
    • Place of Presentation
      Nice (France)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Geometry of (multi-) sections of elliptic surfaces and its applications

    • Author(s)
      徳永浩雄
    • Organizer
      射影多様体の幾何とその周辺
    • Place of Presentation
      高知大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Study of mirror symmetry through log mixed Hodge theory

    • Author(s)
      臼井三平
    • Organizer
      RECENT ADVANCES IN HODGE THEORY: PERIOD DOMAINS, ALGEBRAIC CYCLES, AND ARITHMETIC
    • Place of Presentation
      University of British Columbia, Vancouver, BC, CANADA
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Study of mirror symmetry through log mixed Hodge theory

    • Author(s)
      臼井三平
    • Organizer
      ホッジ理論と代数幾何学
    • Place of Presentation
      東京電機大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Studies of closed/open mirror symmetry for quintic 3-folds through log mixed Hodge theory

    • Author(s)
      臼井三平
    • Organizer
      ミラー対称性の展望
    • Place of Presentation
      京都大学 RIMS
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Book] 平面代数曲線のはなし2017

    • Author(s)
      今野一宏
    • Total Pages
      170
    • Publisher
      内田老鶴圃
    • Related Report
      2016 Annual Research Report
  • [Book] リーマン面と代数曲線2015

    • Author(s)
      今野一宏
    • Total Pages
      272
    • Publisher
      共立出版
    • Related Report
      2015 Annual Research Report
  • [Book] 代数方程式のはなし2014

    • Author(s)
      今野一宏
    • Total Pages
      143
    • Publisher
      内田老鶴圃
    • Related Report
      2014 Annual Research Report
  • [Book] 代数曲線束の地誌学2013

    • Author(s)
      今野一宏
    • Total Pages
      284
    • Publisher
      内田老鶴圃
    • Related Report
      2012 Annual Research Report
  • [Funded Workshop] Mini workshop 'Fibered Varieties' in honor of Prof. M. A. Barja2017

    • Place of Presentation
      大阪大学
    • Year and Date
      2017-03-22
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] Branched coverings, Degenerations and Related Topics 20172017

    • Place of Presentation
      東北学院大学
    • Year and Date
      2017-03-07
    • Related Report
      2016 Annual Research Report

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Published: 2012-11-27   Modified: 2019-07-29  

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