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Study of complex analytic maps, Vojta's conjecture and invariants

Research Project

Project/Area Number 15K04917
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Basic analysis
Research InstitutionThe University of Tokyo

Principal Investigator

Noguchi Junjiro  東京大学, 大学院数理科学研究科, 名誉教授 (20033920)

Research Collaborator Yamanoi Katsutoshi  
Ohsawa Takeo  
Takayama Shigeharu  
Tsuji Hajime  
Hirata Noriko (Kohno Noriko)  
Hamano Sachiko  
Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords解析学 / 関数論 / 多変数複素解析学 / 値分布理論 / Vjota予想 / Vojta予想
Outline of Final Research Achievements

(1) In the study of the value distribution theory and Vojta Conjecture, I gave another proof of M. Raynaud's Theorem (1983) by making use of Big Picard's Theorem for semi-abelian vareities by the author (1981) combined with ``o-minimal structure''. This provides a first instance of a direct relation at proof level between them, whereas the analogies at statement level have been discussed a lot.
(2) Some sufficient condition for the Levi (Hatogs' Inverse) Problem to hold was firstly given, and as well another proof of Behnke-Stein's Theorem (the Steinness of open Riemann sufaces) was given. I improved the algorithmical structure of the proof of Oka's Coherence Theorem, and then obtained a ``Weak Coherence Theorem'': It makes possible to provide a complete self-contained treatment of the solutions of the Three Big Problems (Behnke-Thullen, 1934) due to K. Oka (1936-1953) in a very elementary way only with convergent power series and Cousin's integral (half of Cauchy's integral).

Academic Significance and Societal Importance of the Research Achievements

多変数複素解析学における値分布理論と代数多様体上の有理点分布の理論は、これまで命題文レベルでのアナロジーとして研究されてきた.今回,成果としてそれ等両者の間に証明レベルでの直接的な関係を見出した.間を取りもたったのがロッジックのモデル理論である「極小順序構造・集合」の理論であるこが,興味深い。
多変数複素解析学においてレビ(ハルトークスの逆)問題は基本的である.不分岐領域の場合は岡により解決され,分岐の場合は反例があることが知られているが、ここでは初めて成立の為の十分条件が与えられた。弱連接定理を定式化することにより,岡による三大問題の解決に限ればごく初等的な証明が可能であることを示した。

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (109 results)

All 2019 2018 2017 2016 2015 Other

All Int'l Joint Research (4 results) Journal Article (26 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 24 results,  Open Access: 6 results,  Acknowledgement Compliant: 3 results) Presentation (68 results) (of which Int'l Joint Research: 26 results,  Invited: 48 results) Book (8 results) Remarks (3 results)

  • [Int'l Joint Research] Udine/University of Udine(イタリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Pisa/Ecole Normal Superieur(イタリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Udine/Dept. of Scie., Math. Info. Phy.(Italy)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] Rhur University Bochum/Faculty of Mathematics(Germany)

    • Related Report
      2017 Research-status Report
  • [Journal Article] A weak coherence theorem and remarks to the Oka theory2019

    • Author(s)
      Junjiro Noguchi
    • Journal Title

      Kodai Math. J.

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A brief chronicle of the Levi (Hartogs' Inverse) Problem, Coherence and an open problem2019

    • Author(s)
      Junjiro Noguchi
    • Journal Title

      Notices Intern. Cong. Chin. Math.

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] L^2 proof of Nishino's rigidity theorem2019

    • Author(s)
      Takeo Ohsawa
    • Journal Title

      Kyoto J. Math.

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] A role of the L^2 method in analytic families2019

    • Author(s)
      Takeo Ohsawa
    • Journal Title

      Proc. Conf. to the memory of Ohkawa

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A survey on the L^2 extension theorems2019

    • Author(s)
      Takeo Ohsawa
    • Journal Title

      J. Geom. Analy.

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Variational formulas for principal functions and applications2019

    • Author(s)
      Sachiko Hamano
    • Journal Title

      Proc. of Conference on Teichmuller and Grothendieck-Teichmuller theories; Chern Institute Nankai July 24-30 2016 (eds. L. Ji et al.) Nankai Ser. Pure,Appl. Math. Theoret. Phy., World Scie.

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Open Access
  • [Journal Article] A filling-in problem and moderate degenerations of minimal algebraic varieties2019

    • Author(s)
      Takayama Shigeharu
    • Journal Title

      Algebraic Geometry

      Volume: 6 Pages: 26-49

    • DOI

      10.14231/ag-2019-002

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Pseudo Kobayashi hyperbolicity of subvarieties of general type on abelian varieties2019

    • Author(s)
      Katsutoshi Yamanoi
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 71 Issue: 1 Pages: 259-298

    • DOI

      10.2969/jmsj/75817581

    • NAID

      130007557120

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 数学と言語表現について2018

    • Author(s)
      野口 潤次郎
    • Journal Title

      数学教育学会誌

      Volume: 58 Pages: 75-85

    • NAID

      130007834208

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] An application of the value distribution theory for semi-abelian varieties to problems of Ax?Lindemann and Manin?Mumford types2018

    • Author(s)
      Noguchi Junjiro
    • Journal Title

      Rendiconti Lincei - Matematica e Applicazioni

      Volume: 29 Issue: 3 Pages: 401-411

    • DOI

      10.4171/rlm/813

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Variation of Schiffer and hyperbolic spans under pseudoconvexity2018

    • Author(s)
      Sachiko Hamano
    • Journal Title

      Geometric Complex Analysis Eds. J. Byun et al.,Springer Proc. in Math.&Statist. Springer Nature Singapore Pte Ltd.

      Volume: 246 Pages: 171-178

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a convex level set of a plurisubharmonic function and the support of the Monge-Amp`ere current2018

    • Author(s)
      Yusaku Tiba
    • Journal Title

      Math. Annal. Polonici Mathematici

      Volume: 121 Pages: 251-262

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Positivity of twisted relative pluricanonical bundles and their direct images2018

    • Author(s)
      Mihai Paun and Shigeharu Takayama
    • Journal Title

      J. Algebraic Geom.

      Volume: 27 Pages: 211-272

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] An application of the value distribution theory for semi-abelian varieties to problems of Ax-Lindemann and Manin-Mumford types2018

    • Author(s)
      Junjiro Noguchi
    • Journal Title

      Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the local pseudoconvexity of certain families of \mathbb{C}2018

    • Author(s)
      Takeo Ohsawa
    • Journal Title

      Ann. Inst. Fourier

      Volume: 印刷中

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Diophantine approximation2018

    • Author(s)
      Noriko Hirata-Kohno
    • Journal Title

      Sugaku Exposition Amer. Math. Soc.

      Volume: 印刷中

    • NAID

      10031177296

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Inverse of Abelian integrals and ramified Riemann domains2017

    • Author(s)
      Junjiro Noguchi
    • Journal Title

      Math. Ann.

      Volume: 367 Issue: 1-2 Pages: 229-249

    • DOI

      10.1007/s00208-016-1384-3

    • Related Report
      2017 Research-status Report 2016 Research-status Report 2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] An update of extension theorems by the L2 estimates for \bar{∂} Hodge theory and L2-analysis2017

    • Author(s)
      Takeo Ohsawa
    • Journal Title

      Adv. Lect. Math., Int. Press, Somerville MA

      Volume: 39 Pages: 489-516

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the extension of L2 holomorphic functions VIII: a remark on a theorem of Guan and Zhou2017

    • Author(s)
      Takeo Ohsawa
    • Journal Title

      Internat. J. Math.

      Volume: 28(9) Issue: 09 Pages: 1740005-1740005

    • DOI

      10.1142/s0129167x17400055

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] On the extension of L2 holomorphic functions VII: Hypersurfaces with isolated singularities2017

    • Author(s)
      Takeo Ohsawa
    • Journal Title

      Sci. China Math.

      Volume: 60(6) Pages: 1083-1088

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Hyperbolic span and pseudoconvexity2017

    • Author(s)
      Sachiko Hamano, Masakazu Shiba and Hiroshi Yamaguchi
    • Journal Title

      Kyoto J.Math.

      Volume: 57 Issue: 1 Pages: 165-183

    • DOI

      10.1215/21562261-3759558

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A criterion for the linear independence of polylogarithms over a number field2017

    • Author(s)
      Noriko Hirata-Kohno and Masaru Ito and Yusuke Washio
    • Journal Title

      RIMS Bessatsu Kyoto University

      Volume: 64 Pages: 3-18

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] 多変数複素解析 連接性への道程2016

    • Author(s)
      野口 潤次郎
    • Journal Title

      数理科学

      Volume: 12月 Pages: 42-49

    • Related Report
      2016 Research-status Report
  • [Journal Article] A remark to a division algorithm in the proof of Oka's First Coherence Theorem2015

    • Author(s)
      J. Noguchi
    • Journal Title

      Internat. J. Math.

      Volume: 未定 Issue: 04 Pages: 1-8

    • DOI

      10.1142/s0129167x15400054

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Kobayashi hyperbolicity and Lang's conjecture2015

    • Author(s)
      J. Noguchi
    • Journal Title

      Prog. Math. Geometry and Analysis on Manifolds, Eds. T. Ochiai, etc.

      Volume: 308 Pages: 143-151

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Preface2015

    • Author(s)
      T. Mabuchi, A. Futaki, Y. Miyaoka, J. Noguchi
    • Journal Title

      Internat. J. Math.

      Volume: 26 Issue: 04 Pages: 1-2

    • DOI

      10.1142/s0129167x15020012

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] A big Picard theorem for semi-abelian varieties and torsion points2019

    • Author(s)
      Junjiro Noguchi
    • Organizer
      Geometric Analysis in honor of Bernie Shiffman (Johns Hopkins University)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A new introductory lectures of S.C.V.-Oka theory2019

    • Author(s)
      Junjiro Noguchi
    • Organizer
      Workshop on Holomorphic Maps,Pluripotentials and Complex Geometry
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Splitting theorems on complete Kahler manifolds by the L^2 method2019

    • Author(s)
      Takeo Ohsawa
    • Organizer
      1147th AMS meeting; University of Hawai'i at Manoa (USA)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 種数1のある開リーマン面の擬凸変動に対する同時一意化について2019

    • Author(s)
      濱野 佐知子
    • Organizer
      東北複素解析セミナー (東北大学情報科学研究科)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Variation of the a-span of an open Riemann surface and pseudoconvexity2019

    • Author(s)
      Sachiko Hamano
    • Organizer
      Complex Analytic Geometry Seminar (Pohang University of Science and Technology, Kora)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Picardの大定理とManin-Mumford予想 (Raynaudの定理)2018

    • Author(s)
      野口 潤次郎
    • Organizer
      東大数理複素解析幾何セミナー
    • Related Report
      2018 Annual Research Report
  • [Presentation] On some arithmetic problems on torsion points and Kobayahi hyperbolic projective hypersurfaces2018

    • Author(s)
      Junjiro Noguchi
    • Organizer
      Seminar of the value distribution theory (Tokyo)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A big Picard theorem and the Manin-Mumford conjecture2018

    • Author(s)
      Junjiro Noguchi
    • Organizer
      Winter meeting of Canadian Mathematical Society, Vancouber
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 高次元Picardの大定理,Manin-Mumford予想と関連する話題2018

    • Author(s)
      野口 潤次郎
    • Organizer
      多変数冬セミナー(大阪市立大学)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] L^2 proof of Nishino's rigidity theorem2018

    • Author(s)
      Takeo Ohsawa
    • Organizer
      CR geometry and PDE's VIII (Levico Terme;Italy)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Variation of the a-span of an open Riemann surface and pseudoconvexity2018

    • Author(s)
      Sachiko Hamano
    • Organizer
      Hong Kong Geometry Colloquium (The University of Hong Kong)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 有限種数開リーマン面のa-スパンと擬凸領域2018

    • Author(s)
      濱野 佐知子
    • Organizer
      名城大学・ポテンシャル論セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Variational formulas for hydrodynamic differentials and its application2018

    • Author(s)
      Sachiko Hamano
    • Organizer
      The 12th AIMS Conf. on Dynam. Syst. Diff. Eqs. Appl. Special Session 97:Analysis and Dynamics on Boundaries of Manifolds and Related Topics (National Taiwan University)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Pseudoconvex domains fibered by open Riemann surfaces of the same topological type2018

    • Author(s)
      濱野 佐知子
    • Organizer
      研究集会「リーマン面に関連する位相幾何学」(東大数理)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Pseudoconvex domains fibered by open Riemann surfaces of the same topological type,New Trends in Teichmuller Theory and Mapping Class Groups2018

    • Author(s)
      Sachiko Hamano
    • Organizer
      Meetings at Oberwolfach
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Variational formulas for hydrodynamic differentials and its application2018

    • Author(s)
      Sachiko Hamano
    • Organizer
      102e rencontre entre mathematiciens et physiciens theoriciens (Institut de Recherche Mathematique Avancee (University of Strasbourg and CNRS)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 流体力学的微分の変分公式とその応用について2018

    • Author(s)
      濱野 佐知子
    • Organizer
      研究集会「Geometry of Riemann surfaces and related topics」(金沢大学サテライト・プラザ)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 流体力学的微分の変分公式とその応用について2018

    • Author(s)
      濱野 佐知子
    • Organizer
      平成30年度 等角写像論・値分布論研究集会 (大阪府立大学)
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] The cohomology of non-pluriharmonic loci2018

    • Author(s)
      千葉 優作
    • Organizer
      日本数学会2018年度秋季総合分科会 (岡山大学)
    • Related Report
      2018 Annual Research Report
  • [Presentation] The cohomology of non-pluriharmonic loci2018

    • Author(s)
      千葉 優作
    • Organizer
      多変数関数論冬セミナー (大阪市立大学)
    • Related Report
      2018 Annual Research Report
  • [Presentation] Degeneration of Kahler-Einstein manifolds2018

    • Author(s)
      Shigeharu Takayama
    • Organizer
      2018 International conference on complex geometry and several complex variables,Chinese Academy of Sciences (Beijin)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Discretization of K"ahler-Ricci flows2018

    • Author(s)
      辻 元
    • Organizer
      複素幾何シンポジウム 金沢
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Invariant measures in complex geometry2018

    • Author(s)
      辻 元
    • Organizer
      岡シンポジウム 奈良女子大
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Monge-Amp`ere foliations associated with canonical measure2018

    • Author(s)
      辻 元
    • Organizer
      多変数関数論冬セミナー 大阪市大
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Big Picard Theorem and the Manin-Mumford Conjecture2018

    • Author(s)
      野口 潤次郎
    • Organizer
      東京大学(駒場キャンパス)日本数学会春季年会代数学分科会
    • Related Report
      2017 Research-status Report
  • [Presentation] Variation of the a-span of an open Riemann surface and pseudoconvexity2018

    • Author(s)
      濱野 佐知子
    • Organizer
      2017年度「リーマン面・不連続群論」研究集会 名古屋大学多元数理科学棟 (名古屋市)
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 有限種数開リーマン面のa-スパンと擬凸領域2018

    • Author(s)
      濱野 佐知子
    • Organizer
      日本数学会2018年度年会 函数論分科会 東京大学 (駒場)
    • Related Report
      2017 Research-status Report
  • [Presentation] Linear independence of special values of logarithms revisited2018

    • Author(s)
      N. Hirata-Kohno and M. Kawashima
    • Organizer
      Diophantine Analysis and Related Fields 2018
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A unified proof of Cousin I/II and d-bar equation on domains of holomorphy2017

    • Author(s)
      野口 潤次郎
    • Organizer
      複素解析幾何セミナー
    • Place of Presentation
      東京都
    • Year and Date
      2017-01-23
    • Related Report
      2016 Research-status Report
  • [Presentation] 弱連接定理とLevi問題につい2017

    • Author(s)
      野口 潤次郎
    • Organizer
      大阪市立大学大学院理学研究科数学専攻談話会
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Nevanlinna Theory and Diophantine Approximation I-IV2017

    • Author(s)
      Junjiro Noguchi
    • Organizer
      Dept. of Sci. Math., Info. & Phy., University of Udine
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Some simplifications of the proofs of Oka-Cartan theory and a weak coherence theorem2017

    • Author(s)
      Junjiro Noguchi
    • Organizer
      Dept. of Math. & Info., University of Firenze
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] On a weak coherence theorem and Levi problem (Oka VI, IX)2017

    • Author(s)
      Junjiro Noguchi
    • Organizer
      Dept. of Math., University of Rome, Tor Vergata
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] A Remark on Oka's Coherence without Weierstrass' Preparation Theorem and the Oka Theory2017

    • Author(s)
      野口 潤次郎
    • Organizer
      山形大学日本数学会秋季総合分科会函数論分科会
    • Related Report
      2017 Research-status Report
  • [Presentation] On a weak coherence theorem and the foudational part of several complex variables2017

    • Author(s)
      Junjiro Noguchi
    • Organizer
      23rd Symposium on Complex Geometry at Kanazawa
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Picardの定理のManin-Mumford予想への応用2017

    • Author(s)
      野口 潤次郎
    • Organizer
      東北複素解析セミナー(東北大学)
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Nishino's rigidity and questions on locally pseudoconvex maps2017

    • Author(s)
      Takeo Ohsawa
    • Organizer
      Young Mathematicians Workshop on Several Complex Variables and Complex Geometry 2017: Capital Normal University (北京)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] ファイバー空間の相対標準束と充填問題2017

    • Author(s)
      高山 茂晴
    • Organizer
      代数学シンポジウム 大阪大学
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Moderate degeneration of K\"ahler-Einstein manifolds with negative Ricci curvature2017

    • Author(s)
      Shigeharu Takayama
    • Organizer
      23rd Complex Geometry Symposium: 石川県文教会館
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Moderate degeneration of K\"ahler-Einstein manifolds2017

    • Author(s)
      Shigeharu Takayama
    • Organizer
      Mini-workshop on Complex Geometry (KIAS, Seoul)
    • Related Report
      2017 Research-status Report
  • [Presentation] 流体力学的微分の2階変分公式とその応用について2017

    • Author(s)
      濱野 佐知子
    • Organizer
      名城大学・ポテンシャル論セミナー
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Variation of the moduli disk for an open Riemann surface of finite genus2017

    • Author(s)
      Sachiko Hamano
    • Organizer
      Geometry and its applications; Seminar on complex analytic geometry: Pohang Univ. Scie. Tech. (Korea)
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Variation of the moduli disk for closings of an open torus under pseudoconvexity2017

    • Author(s)
      Sachiko Hamano
    • Organizer
      Seminar at Institute for Advanced Mathematical Research University of Strasbourg (France)
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Variational formulas for hydrodynamic differentials and pseudoconvexity2017

    • Author(s)
      Sachiko Hamano
    • Organizer
      Several Complex Variables; International Scientific Conference dedicated to the centennial of B.V. Shabat: Siberian Federal University (Russia)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 有限種数開リーマン面のa-スパンと擬凸領域2017

    • Author(s)
      濱野 佐知子
    • Organizer
      2017年度リーマン面論研究会 大塚公民館・広島オフィスセンター(広島市)
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] The extension of holomorphic functions on a non-pluriharmonic locus2017

    • Author(s)
      Yusaku Tiba
    • Organizer
      Pacific Rim Complex-Symplectic Geometry Conference IBS Center for Geometry and Physics (Pohang South Korea)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] The extension of holomorphic functions on a non-pluriharmonic locus2017

    • Author(s)
      千葉 優作
    • Organizer
      日本数学会2017年度秋季総合分科会 函数論分科会 (山形大学)
    • Related Report
      2017 Research-status Report
  • [Presentation] The extension of holomorphic functions on a non-pluriharmonic locus2017

    • Author(s)
      千葉 優作
    • Organizer
      複素解析幾何セミナー 東京大学数理科学研究科
    • Related Report
      2017 Research-status Report
  • [Presentation] A wild polynomial automorphism in positive characteristic and a key exchange protocol2017

    • Author(s)
      S. Nakamura and M. Ito and K. Akiyama and N. Hirata-Kohno
    • Organizer
      JSIAM Annual Meeting 2017
    • Related Report
      2017 Research-status Report
  • [Presentation] The irrationality via Diophantine approximation and Mathematica2017

    • Author(s)
      Y. Washio and M. Zenyouji and Y. Ishii and Y. Kurimoto and N. Hirata-Kohno
    • Organizer
      RIMS Workshop Kyoto University
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] New Pade approximation related to a series with periodic coefficients2017

    • Author(s)
      N. Hirata-Kohno
    • Organizer
      Diophantine Approximation and Algebraic Curves; BIRS Canada
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A key exchange protocol via polynomial automorphisms related to Jacobian conjecture2017

    • Author(s)
      M. Ito and S. Nakamura and K. Akiyama and N. Hirata-Kohno
    • Organizer
      JSIAM 第13回研究部会連合発表会
    • Related Report
      2017 Research-status Report
  • [Presentation] 多変数関数論基礎の証明簡単化について2016

    • Author(s)
      野口 潤次郎
    • Organizer
      多変数冬セミナー
    • Place of Presentation
      福岡市
    • Year and Date
      2016-12-16
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 分岐領域のレビ問題と関連する話題2016

    • Author(s)
      野口 潤次郎
    • Organizer
      函数論シンポジウム
    • Place of Presentation
      静岡市
    • Year and Date
      2016-10-09
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] A simple proof of Cartan's Lemma2016

    • Author(s)
      J. Noguchi
    • Organizer
      Hayama Symposium on Complex Analysis in Several Variables XIII
    • Place of Presentation
      湘南国際村センター(神奈川県)
    • Year and Date
      2016-07-17
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Some remarks to S.M.T. related to semi-abelian varieties2016

    • Author(s)
      J. Noguchi
    • Organizer
      Current Trends in Diophantine Geometry and Transcendence
    • Place of Presentation
      台北,台湾
    • Year and Date
      2016-05-26
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 岡潔博士の数学研究と日本文化2016

    • Author(s)
      野口潤次郎
    • Organizer
      平成27年度 名誉市民『岡潔』顕彰講演会、橋本市岡潔数学WAVE・橋本市教育委員会
    • Place of Presentation
      橋本市
    • Year and Date
      2016-01-30
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] On the inverse of abelian integrals and Levi problem for ramified Riemann domains2015

    • Author(s)
      J. Noguchi
    • Organizer
      Geometry Seminar, 中華中央科学院 数学研究所、台北
    • Place of Presentation
      台北、台湾
    • Year and Date
      2015-12-14
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Value distribution and integral points over semi-abelian varieties2015

    • Author(s)
      J. Noguchi
    • Organizer
      Seminar on Number Theory, 国立台湾大学
    • Place of Presentation
      台北、台湾
    • Year and Date
      2015-12-11
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] On the Levi problem for ramified Riemann domains2015

    • Author(s)
      J. Noguchi
    • Organizer
      The 21th Symposium on Complex Geometry, Kanazawa
    • Place of Presentation
      金沢市
    • Year and Date
      2015-10-30
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 逆アーベル積分の収束半径と分岐リーマン領域のレビ問題2015

    • Author(s)
      野口潤次郎
    • Organizer
      日本数学会秋季総合分科会、函数論分科会、京都産業大学
    • Place of Presentation
      京都市
    • Year and Date
      2015-09-15
    • Related Report
      2015 Research-status Report
  • [Presentation] リーマン面の基礎2015

    • Author(s)
      野口潤次郎
    • Organizer
      リーマン面に関連する位相幾何学研究集会、東京大学大学院数理科学研究科
    • Place of Presentation
      東京都
    • Year and Date
      2015-08-24
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Distribution of entire curves and integral points in open algebraic varieties.2015

    • Author(s)
      J. Noguchi
    • Organizer
      Journ’ees Arithmetiques
    • Place of Presentation
      Debrecen, Hungary
    • Year and Date
      2015-07-06
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] On Levi problem for ramified Riemann domains over C^n2015

    • Author(s)
      J. Noguchi
    • Organizer
      Complex Algebraic Geometry and Complex Analysis Seminar, Ruhr-University Bochum
    • Place of Presentation
      Bochum, Germany
    • Year and Date
      2015-06-26
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] An easy course in several complex variables via Oka’s J^oku-Ik^o2015

    • Author(s)
      J. Noguchi
    • Organizer
      Complex Algebraic Geometry and Complex Analysis Seminar, Ruhr-University Bochum
    • Place of Presentation
      Bochum, Germany
    • Year and Date
      2015-06-19
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] On Oka’s Coherence Theorems (Oka VII&VIII) and Levi problem (historical survey)2015

    • Author(s)
      J. Noguchi
    • Organizer
      Complex Algebraic Geometry and Complex Analysis Seminar, Ruhr-University Bochum
    • Place of Presentation
      Bochum, Germany
    • Year and Date
      2015-06-12
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] On Oka’s Coherence Theorems, Oka VII, VIII, some improvements and related results2015

    • Author(s)
      J. Noguchi
    • Organizer
      International Conference on Complex Geometry and Several Complex Variables, 上海、華東師範大学
    • Place of Presentation
      Shanghai, China
    • Year and Date
      2015-05-11
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A scalar associated with the inverse of some Abelian integrals on open Riemann surfaces and a ramified Riemann domain2015

    • Author(s)
      野口潤次郎
    • Organizer
      名古屋大学大学院多元数理科学研究科 解析幾何セミナー
    • Place of Presentation
      名古屋市
    • Year and Date
      2015-04-24
    • Related Report
      2015 Research-status Report
  • [Book] L^2 approaches in several complex variables--towards the Oka-Cartan theory with precise bounds (Second Edition)2018

    • Author(s)
      Takeo Ohsawa
    • Total Pages
      269
    • Publisher
      Springer Japan
    • ISBN
      9784431568513
    • Related Report
      2018 Annual Research Report
  • [Book] 多変数複素解析(増補版)2018

    • Author(s)
      大沢 健夫
    • Total Pages
      166
    • Publisher
      岩波書店,
    • ISBN
      9784000063326
    • Related Report
      2018 Annual Research Report
  • [Book] 現代複素解析への道標―レジェンドたちの射程2017

    • Author(s)
      大沢 健夫
    • Total Pages
      261
    • Publisher
      現代数学社
    • ISBN
      9784768704806
    • Related Report
      2017 Research-status Report
  • [Book] Analytic Function Theory of Several Variables-Elements of Oka's Coherence2016

    • Author(s)
      J. Noguchi
    • Total Pages
      413
    • Publisher
      Springer Sci.+Bus. Media Singapore
    • Related Report
      2016 Research-status Report
  • [Book] 複素数入門2016

    • Author(s)
      野口 潤次郎
    • Total Pages
      155
    • Publisher
      共立出版
    • Related Report
      2016 Research-status Report
  • [Book] Analytic Function Theory - Elements of Oka's Coherence2016

    • Author(s)
      J. Noguchi
    • Total Pages
      409
    • Publisher
      Springer
    • Related Report
      2015 Research-status Report
  • [Book] 複素数入門2016

    • Author(s)
      野口潤次郎
    • Total Pages
      160
    • Publisher
      共立出版
    • Related Report
      2015 Research-status Report
  • [Book] Geometry and Analysis on Manifolds, In Memory of Professor Shoshichi Kobayashi2015

    • Author(s)
      T. Ochiai, T. Mabuchi, Y. Maeda, J. Noguchi, A. Weinstein (Eds.)
    • Total Pages
      489
    • Publisher
      Birkhauser
    • Related Report
      2015 Research-status Report
  • [Remarks] 野口潤次郎の電網掲示板 (Home Page of Noguchi, Junjiro)

    • URL

      http://www.ms.u-tokyo.ac.jp/~noguchi/

    • Related Report
      2018 Annual Research Report
  • [Remarks] 野口潤次郎の電網掲示板(Home Page of Noguchi, Junjiro)

    • URL

      http://www.ms.u-tokyo.ac.jp/~noguchi/

    • Related Report
      2017 Research-status Report
  • [Remarks] 野口潤次郎の電網掲示板 (Home Page of Noguchi, Junjiro)

    • URL

      http://www.ms.u-tokyo.ac.jp/~noguchi/

    • Related Report
      2016 Research-status Report 2015 Research-status Report

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Published: 2015-04-16   Modified: 2020-03-30  

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