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2016 Fiscal Year Annual Research Report

Structure of higher-dimensional algebraic varieties and unipotent geometry

Research Project

Project/Area Number 24340006
Research InstitutionKwansei Gakuin University

Principal Investigator

宮西 正宜  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) 増田 佳代  関西学院大学, 理工学部, 教授 (40280416)
小島 秀雄  新潟大学, 自然科学系, 教授 (90332824)
岸本 崇  埼玉大学, 理工学研究科, 准教授 (20372576)
黒田 茂  首都大学東京, 理工学研究科, 教授 (70453032)
Project Period (FY) 2012-04-01 – 2017-03-31
Keywords加法群 / 代数多様体 / アフィン直線 / べき零導分
Outline of Annual Research Achievements

フランス・グルノーブル大学で開催された国際研究集会「Complex Affine Geometry, Hyperbolicity, Complex Analysis」に参加して,「Affine threefolds withGa-actions」という招待講演を行うとともに,Mikahil Zaidenberg (Grnoble, France), Hanspeter Kraft (Basel, Switzerland), Ivan Cheltsov (Edinburgh, Great Britain), Yuri Prokhorov (Moscow, Russia)等と代数多様体上への加法群の作用に関する情報交換を行った.
この出張は,報告者の個人的事情で取り止めた,2015年5月に予定していた,イスラエル・ハイファ市,Technionにおける「Conference on "Algebraic Geometry, Braids, Analysis"」に代えて行ったものである.
講演の内容は,基盤研究(B)の支援で遂行したOberwolfach研究所(Germany), Banff数学研究所(Canada)での共同研究(R.V. Gurjar (India), M. Koras (Poland), 増田佳代,P. Russell (Canada))の一部を取り上げたもので,論文はMathematische Annalenに投稿中である.

Research Progress Status

28年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

28年度が最終年度であるため、記入しない。

  • Research Products

    (9 results)

All 2017 2016

All Journal Article (4 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 4 results,  Acknowledgement Compliant: 3 results) Presentation (4 results) (of which Int'l Joint Research: 3 results,  Invited: 4 results) Book (1 results)

  • [Journal Article] Unipotent group actions on projective varieties2017

    • Author(s)
      宮西正宜
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 75 Pages: 119-162

    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Wild Z/pZ-actions on algebraic surfaces2017

    • Author(s)
      宮西正宜
    • Journal Title

      Journal of Algebras

      Volume: 477 Pages: 360-389

    • DOI

      10.1016/j.jalgebra.2016.12.025

    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Pure subrings of commutative rings2016

    • Author(s)
      宮西正宜
    • Journal Title

      Nagoya Mathematical Journal

      Volume: 221 Pages: 33-68

    • DOI

      10.1017/nmj.2016.2

    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Affine threefolds with A^2-fibrations2016

    • Author(s)
      宮西正宜
    • Journal Title

      Transformation Groups

      Volume: 22 Pages: 187-205

    • DOI

      10.1007/s00031-016-9379-4

    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] Some applications of Jacobson's Galois theory for purely inseparable extension of exponent 12017

    • Author(s)
      宮西正宜
    • Organizer
      Noda Algebraic Geometry Symposium 2017
    • Place of Presentation
      東京理科大学理工学部(千葉県・野田市)
    • Year and Date
      2017-03-23
    • Invited
  • [Presentation] A remark on the generalized Jacobian conjecture for A^2/G2017

    • Author(s)
      宮西正宜
    • Organizer
      The fifteenth Meeting of Affine Algebraic Geometry
    • Place of Presentation
      関西学院大学大阪梅田キャンパス(大阪府・大阪市北区)
    • Year and Date
      2017-03-03
    • Int'l Joint Research / Invited
  • [Presentation] A remark on the generalized Jacobian conjecture for A^2/G2017

    • Author(s)
      宮西正宜
    • Organizer
      Higher-dimensional birational geometry, holomorphic dynamics and their interactions
    • Place of Presentation
      Singapore (Singapore)
    • Year and Date
      2017-01-12
    • Int'l Joint Research / Invited
  • [Presentation] Affine threefolds with G_a-actions2016

    • Author(s)
      宮西正宜
    • Organizer
      Complex affine geometry, hyperbolicity and complex analysis
    • Place of Presentation
      Grenoble ( France)
    • Year and Date
      2016-10-28
    • Int'l Joint Research / Invited
  • [Book] 代数曲線入門2016

    • Author(s)
      宮西正宜・増田佳代
    • Total Pages
      161
    • Publisher
      共立出版

URL: 

Published: 2018-01-16  

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