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2011 Fiscal Year Final Research Report

Structure of algebraic varieties and unipotent geometry

Research Project

  • PDF
Project/Area Number 21540055
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionKwansei Gakuin University

Principal Investigator

MIYANISHI Masayoshi  関西学院大学, 数理科学研究センター, 客員研究員 (80025311)

Co-Investigator(Kenkyū-buntansha) MASUDA Kayo  関西学院大学, 理工学部, 教授 (40280416)
Project Period (FY) 2009 – 2011
Keywords代数幾何
Research Abstract

Research on vector fields on affine varieties and properties of A^1-fibrations and A^1_*-fibrations on affine threefolds was successfully conducted. Properties of singular points on affine normal surfaces are also explored. Through this research, a new scope of studying the structure of affine threefolds via deformation theory is envisioned.

  • Research Products

    (26 results)

All 2012 2011 2010 2009 Other

All Journal Article (8 results) (of which Peer Reviewed: 8 results) Presentation (12 results) Book (3 results) Remarks (3 results)

  • [Journal Article] Algebraic derivations on affine domains2012

    • Author(s)
      増田佳代 , 宮西正宜
    • Journal Title

      to appear in the CAAG proceedings

    • Peer Reviewed
  • [Journal Article] A^1-fibrations on affine threefolds2012

    • Author(s)
      R.V. Gurjar, 増田佳代 , 宮西正宜
    • Journal Title

      J. pure and applied algebra

      Volume: Vol. 216 Pages: 296-313

    • DOI

      doi:10.1016/j.jpaa.2011.06.013

    • Peer Reviewed
  • [Journal Article] Equivariant derivations and additive group actions, The Russell Festschrift2011

    • Author(s)
      増田佳代
    • Journal Title

      Amer. Math. Soc.

      Volume: Vol. 54 Pages: 231-242

    • Peer Reviewed
  • [Journal Article] Frobenius sandwiches of affine algebraic surfaces, Affine algebraic geometry, The Russell Festschrift2011

    • Author(s)
      宮西正宜
    • Journal Title

      Amer. Math. Soc.

      Volume: Vol.54 Pages: 243-260

    • Peer Reviewed
  • [Journal Article] Homogeneous locally nilpotent derivations having slices and embeddings of affine spaces2009

    • Author(s)
      増田佳代
    • Journal Title

      J. Algebra

      Volume: Vol.312 Pages: 1719-1733

    • DOI

      doi:10.1016/j.jalgebra.2008.12.012

    • Peer Reviewed
  • [Journal Article] Lifting of locally nilpotent derivations under finite homomorphisms2009

    • Author(s)
      増田佳代,宮西正宜
    • Journal Title

      Tohoku Math. J

      Volume: Vol.61 Pages: 267-286

    • Peer Reviewed
  • [Journal Article] Additive group scheme actions on the integral schemes defined over discrete valuation rings2009

    • Author(s)
      宮西正宜
    • Journal Title

      J. Algebra

      Volume: Vol.322, no.9 Pages: 3331-3344

    • DOI

      doi:10.1016/j.jalgebra.2008.02.018

    • Peer Reviewed
  • [Journal Article] Smoothness of the images of the members of a linear pencil under an endomorphism of the affine plane2009

    • Author(s)
      P. Cassou-Nogues、宮西正宜
    • Journal Title

      J. Pure Appl. Algebra

      Volume: Vol.213, no.5 Pages: 711-723

    • DOI

      doi:10.1016/j.jpaa.2008.09.002

    • Peer Reviewed
  • [Presentation] ホモロジー平面と関連する話題2011

    • Author(s)
      宮西正宜
    • Organizer
      日本数学会秋季総合分科会企画特別講演
    • Place of Presentation
      信州大学
    • Year and Date
      2011-09-30
  • [Presentation] Singularities of Z-homology planes of general type2011

    • Author(s)
      宮西正宜
    • Organizer
      Affine algebraic geometry
    • Place of Presentation
      Umeda-Osaka
    • Year and Date
      2011-09-02
  • [Presentation] Kernels of regular vector fields on affine threefolds, Workshop on Complex-Analytic and Algebraic Trends in the Geometry of Varieties2011

    • Author(s)
      宮西正宜
    • Organizer
      Universite de Quebec a Montreal
    • Place of Presentation
      Canada
    • Year and Date
      2011-08-16
  • [Presentation] Unramified endomorphisms of algebraic surfaces2011

    • Author(s)
      宮西正宜
    • Organizer
      Affine algebraic geometry
    • Place of Presentation
      Umeda-Osaka
    • Year and Date
      2011-03-04
  • [Presentation] Unramified endomorphisms of algebraic surfaces, Workshops on algebraic geometry, complex dynamics and their interactions2011

    • Author(s)
      宮西正宜
    • Organizer
      IMS, National University of Singapore
    • Place of Presentation
      Singapore
    • Year and Date
      2011-01-04
  • [Presentation] Affine line fibrations on affine threefolds, Part II, Internat .2010

    • Author(s)
      宮西正宜
    • Organizer
      Conference on commutative algebra and algebraic geometry CAAG2010, Indian Institute of Science
    • Place of Presentation
      Bangalore, India
    • Year and Date
      2010-12-09
  • [Presentation] A^1-fibrations on affine threefolds, Part I, Internat. Conferenceon commutative algebra and algebraic geometry CAAG20102010

    • Author(s)
      増田佳代
    • Organizer
      Indian Institute of Science
    • Place of Presentation
      Bangalore, India
    • Year and Date
      2010-12-09
  • [Presentation] Equivariant vector fields and invariant theory2010

    • Author(s)
      増田佳代
    • Organizer
      Affine algebraic geometry
    • Place of Presentation
      Umeda-Osaka
    • Year and Date
      2010-03-04
  • [Presentation] Vector fields and invariant theory, Miniworkshop of algebra2010

    • Author(s)
      宮西正宜
    • Organizer
      National Taiwan University
    • Place of Presentation
      Taiwan
    • Year and Date
      2010-01-19
  • [Presentation] Generalized Jacobian problem for algebraic surfaces like the affine plane, A conference on automorphismsof affine spaces2009

    • Author(s)
      宮西正宜
    • Organizer
      Radboud UniversityNijmegen
    • Place of Presentation
      The Netherland.
    • Year and Date
      2009-07-06
  • [Presentation] Equivariant derivations and additive group actions, Affine algebraic geometry2009

    • Author(s)
      増田佳代
    • Organizer
      A conference in honour of Peter Russell
    • Place of Presentation
      McGill University, Canada.
    • Year and Date
      2009-06-01
  • [Presentation] Characteristic p phenomena in affine geometry, Affine algebraic geometry2009

    • Author(s)
      宮西正宜
    • Organizer
      A conference in honour of Peter Russell
    • Place of Presentation
      McGill University, Canada.
    • Year and Date
      2009-06-01
  • [Book] 代数学2-発展編2011

    • Author(s)
      宮西正宜
    • Total Pages
      323
    • Publisher
      裳華房
  • [Book] 代数学1-基礎編2010

    • Author(s)
      宮西正宜
    • Total Pages
      278
    • Publisher
      裳華房
  • [Book] 現代数理入門2009

    • Author(s)
      宮西正宜,茨木俊秀
    • Total Pages
      282
    • Publisher
      関西学院大学出版会(共編著)
  • [Remarks] 宮西正宜

    • URL

      http://www10.plala.or.jp/masamiyanishi/miya/

  • [Remarks] 増田佳代

    • URL

      http://sci-tech.ksc.kwansei.ac.jp/~kayo/

  • [Remarks] AAG(アフィン代数幾何学ホームページ)

    • URL

      http://sci-tech.ksc.kwansei.ac.jp/~kayo/AAG.html

URL: 

Published: 2014-08-29  

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