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Ikeda Atsushi  池田 京司

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… Alternative Names

池田 京司  イケダ アツシ

IKEDA Atsushi  池田 京司

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Researcher Number 40397617
External Links
Affiliation (Current) 2025: 東京電機大学, 工学部, 教授
Affiliation (based on the past Project Information) *help 2020 – 2023: 東京電機大学, 工学部, 教授
2013 – 2015: 東京電機大学, 工学部, 准教授
2011: 東京電機大学, 工学部, 准教授
2008 – 2010: Osaka University, 大学院・理学研究科, 特任研究員
2007: Osaka University, Graduate School of Science, COE Lecturer
2006: 大阪大学, 大学院理学研究科, 特任研究員
Review Section/Research Field
Principal Investigator
Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra
Keywords
Principal Investigator
周期写像 / ホッジ構造 / 周期行列 / ガウス写像 / アーベル多様体 / プリム多様体 / テータ関数 / 分岐被覆 / 偏極アーベル多様体 / 代数曲線 … More / 3次曲面 / 楕円曲面 / 3次超曲面 / 射影多様体 / 3次超曲面 / 3次曲面 / 代数幾何 … More
Except Principal Investigator
Bloch's conjecture / Schur dimension / tensor category / Chow group / Motives / Motivic Zeta / Chow Variety / Schur finite / 有限次元性 / フランス:オランダ:ドイツ:カナダ:メキシコ / 国際協力研究 / Bloch予想 / Schur次元 / テンソル圏 / Chow群 / モチーフ / 鏡対称性 / カラビ・ヤウ多様体 / 一般多様体 / ログ幾何学 / デデキント和 / スロープ不等式 / 対数的幾何学 / 対数的ホッジ理論 / 算術的コーエン・マコーレー束 / ツイスター空間 / Orbifold 特性類 / 非特殊線形系 / 対数的混合ホッジ構造 / 安定性 / ルート系 / 双エルミート構造 / 堀川指数 / 2次元正規特異点 / slope 安定束 / 加藤曲面 / 特異点 / 基本図式 / ホッジ構造 / log geometry / 対数的混合ホッジ理論 / ミラー対称性 / ネロンモデル / 混合版基本図式 / 混合対数的ホッジ構造 / コンパクト化 / モジュライ / 周期写像 / ホッジ理論 Less
  • Research Projects

    (5 results)
  • Research Products

    (56 results)
  • Co-Researchers

    (13 People)
  •  分岐被覆と偏極アーベル多様体の幾何による周期写像の研究Principal Investigator

    • Principal Investigator
      池田 京司
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Tokyo Denki University
  •  射影多様体の幾何と直線の多様体のホッジ構造Principal Investigator

    • Principal Investigator
      池田 京司
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Denki University
  •  Theory of mixed log Hodge structures and its applications

    • Principal Investigator
      USUI Sampei
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Algebraic geometry of hypersurfaces and lines in projective spaces and Hodge structurePrincipal Investigator

    • Principal Investigator
      IKEDA Atushi (IKEDA Atsushi)
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Denki University
      Osaka University
  •  Finite dimensionality of Motives

    • Principal Investigator
      KIMURA Shun-ichi
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University

All 2023 2022 2021 2016 2015 2014 2013 2011 2010 2009 2008 2007 2006 Other

All Journal Article Presentation

  • [Journal Article] Double coverings of algebraic curves and Gauss maps for hypersurfaces in Prym varieties2022

    • Author(s)
      池田京司
    • Journal Title

      代数幾何学シンポジウム記録

      Volume: 2021 Pages: 214-225

    • Open Access
    • Data Source
      KAKENHI-PROJECT-20K03543
  • [Journal Article] The double cover of cubic surfaces branched along their Hessian2014

    • Author(s)
      IKEDA, Atsushi
    • Journal Title

      Internat. J. Math.

      Volume: 25 Issue: 08 Pages: 1450075-1450075

    • DOI

      10.1142/s0129167x1450075x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340008, KAKENHI-PROJECT-25400049
  • [Journal Article] A period map for cubic surfaces2011

    • Author(s)
      池田京司
    • Journal Title

      数理解析研究所講究録

      Volume: 1745 Pages: 5-10

    • Data Source
      KAKENHI-PROJECT-20740014
  • [Journal Article] Subvarieties of generic hypersurfaces in a nonsingular projective toric variety2009

    • Author(s)
      池田京司
    • Journal Title

      Mathematische Zeitschrift 263

      Pages: 923-937

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Journal Article] The varieties of intersections of lines and hypersurfaces in projective spaces2008

    • Author(s)
      池田京司
    • Journal Title

      Higher dimensional algebraic varieties and vector bundles RIMS Kokyuroku Bessatsu B9

      Pages: 115-125

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Journal Article] The varieties of intersections of lines and hypersurfaces in projective spaces2008

    • Author(s)
      池田京司
    • Journal Title

      RIMS Kokyuroku Bessatsu, Higher dimensional algebraic varieties and vector bundles B9

      Pages: 115-125

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Journal Article] The varieties of intersect-ions of lines and hypersurfaces in projective spaces, "Higher dimensi-onal algebraic varieties and vector bundles"2008

    • Author(s)
      池田京司
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B9 Pages: 115-125

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Journal Article] On the Hodge structure of degenerating hypersurfaces in2007

    • Author(s)
      Atsushi, Ikeda
    • Journal Title

      Tohoku Mathematical Journal 59

      Pages: 341-363

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540033
  • [Journal Article] On the Hodge structure of degenerating hypersurfaces in toric varieties2007

    • Author(s)
      Atsushi Ikeda
    • Journal Title

      Tohoku Mathematical Journal 59

      Pages: 341-363

    • NAID

      110006389124

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540033
  • [Journal Article] Algebraic cycles on Jacobian varieties2006

    • Author(s)
      Atsushi Ikeda
    • Journal Title

      数理解析研究所講究録 1490

      Pages: 179-187

    • Data Source
      KAKENHI-PROJECT-18540033
  • [Journal Article] Algebraic cycles on Jacobian varieties2006

    • Author(s)
      Atsushi, Ikeda
    • Journal Title

      Surikaiseki-Kenkyusho Kokyuroku 1490

      Pages: 179-187

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540033
  • [Journal Article] Alebraic cycles on Jacobian varieties2006

    • Author(s)
      Ikeda, Atsushi
    • Journal Title

      数理解析研究所講究録 1490

      Pages: 179-187

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540033
  • [Journal Article] The double cover of cubic surfaces branched along their Hessian

    • Author(s)
      池田京司
    • Journal Title

      arXiv mathematics

    • URL

      http://arxiv.org/PS_cache/arxiv/pdf/1012/1012.4242v1.pdf

    • Data Source
      KAKENHI-PROJECT-20740014
  • [Journal Article] The varieties of tangent lines to hypersurfaces in projective spaces

    • Author(s)
      A.Ikeda
    • Journal Title

      Communications in Algebra

      Volume: (acceptted)(未定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Journal Article] The varieties of tangent lines to hypersurfacese in projective spaces

    • Author(s)
      池田京司
    • Journal Title

      arXiv mathematics

    • URL

      http://arxiv.org/PS_cache/arxiv/pdf/1012/1012.2186v1.pdf

    • Data Source
      KAKENHI-PROJECT-20740014
  • [Journal Article] The varieties of tangent lines to hypersurfacese in projective spaces

    • Author(s)
      池田京司
    • URL

      http://arxiv.org/PS_cache/arxiv/pdf/1012/1012.2186vl.pdf

    • Data Source
      KAKENHI-PROJECT-20740014
  • [Journal Article] The double cover of cubic surfaces branched along their Hessian

    • Author(s)
      池田京司
    • URL

      http://arxiv.org/PS_cache/arxiv/pdf/1012/1012.4242vl.pdf

    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] Prym varieties of double coverings of elliptic curves and theta functions2023

    • Author(s)
      池田京司
    • Organizer
      代数曲面ワークショップ at 南大沢
    • Data Source
      KAKENHI-PROJECT-20K03543
  • [Presentation] Double coverings of algebraic curves and Gauss maps for hypersurfaces in Prym varieties2021

    • Author(s)
      池田京司
    • Organizer
      城崎代数幾何学シンポジウム
    • Data Source
      KAKENHI-PROJECT-20K03543
  • [Presentation] On quotients of symmetric squares of algebraic curves2016

    • Author(s)
      池田京司
    • Organizer
      代数幾何ミニ研究集会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2016-03-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] On quotients of symmetric squares of algebraic curves2016

    • Author(s)
      池田京司
    • Organizer
      代数幾何ミニ研究集会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2016-03-10
    • Data Source
      KAKENHI-PROJECT-25400049
  • [Presentation] Periods of certain elliptic surfaces2015

    • Author(s)
      池田京司
    • Organizer
      第3回K3曲面・エンリケス曲面ワークショップ
    • Place of Presentation
      北海道教育大学
    • Year and Date
      2015-08-18
    • Data Source
      KAKENHI-PROJECT-25400049
  • [Presentation] Periods of certain elliptic surfaces2015

    • Author(s)
      池田京司
    • Organizer
      特異点と多様体の幾何学
    • Place of Presentation
      草津セミナーハウス、群馬県
    • Year and Date
      2015-09-23
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] Period map for a family of elliptic surfaces2015

    • Author(s)
      池田京司
    • Organizer
      ホッジ理論と代数幾何学
    • Place of Presentation
      大阪大学理学部
    • Year and Date
      2015-03-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] Period map for a family of elliptic surfaces2015

    • Author(s)
      池田京司
    • Organizer
      ホッジ理論と代数幾何学
    • Place of Presentation
      大阪大学(大阪府豊中市)
    • Year and Date
      2015-03-12
    • Data Source
      KAKENHI-PROJECT-25400049
  • [Presentation] ある楕円曲面族の周期と Mordell-Weil 群の変動2015

    • Author(s)
      池田京司
    • Organizer
      第2回代数幾何学研究集会-宇部-
    • Place of Presentation
      宇部工業高専
    • Year and Date
      2015-01-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] Periods of certain elliptic surfaces2015

    • Author(s)
      池田京司
    • Organizer
      第3回K3曲面・エンリケス曲面ワークショップ
    • Place of Presentation
      北海道教育大学
    • Year and Date
      2015-08-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] ある楕円曲面族の周期とMordell-Weil群の変動2015

    • Author(s)
      池田京司
    • Organizer
      第2回代数幾何学研究集会-宇部-
    • Place of Presentation
      宇部工業高専(山口県宇部市)
    • Year and Date
      2015-01-24
    • Data Source
      KAKENHI-PROJECT-25400049
  • [Presentation] Periods of certain elliptic surfaces2015

    • Author(s)
      池田京司
    • Organizer
      特異点と多様体の幾何学
    • Place of Presentation
      草津セミナーハウス
    • Year and Date
      2015-09-23
    • Data Source
      KAKENHI-PROJECT-25400049
  • [Presentation] ある楕円曲面族の周期とMordell-Weil群の変動2015

    • Author(s)
      池田京司
    • Organizer
      野田代数幾何学シンポジウム
    • Place of Presentation
      東京理科大学(千葉県野田市)
    • Year and Date
      2015-03-18
    • Data Source
      KAKENHI-PROJECT-25400049
  • [Presentation] ある楕円曲面族の周期とMordell-Weil群の変動2015

    • Author(s)
      池田京司
    • Organizer
      野田代数幾何学シンポジウム
    • Place of Presentation
      東京理科大学,千葉県
    • Year and Date
      2015-03-18
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] Cubic surfaces with two nodes and symmetric squares of Picard curves2013

    • Author(s)
      池田京司
    • Organizer
      第11回代数曲線論シンポジウム
    • Place of Presentation
      首都大学東京
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] arieties of tangent lines to hypersurfaces2013

    • Author(s)
      池田京司
    • Organizer
      第3回代数曲面ワークショップ at 秋葉原
    • Place of Presentation
      首都大学東京  秋葉原サテライトキャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] ある楕円曲面の族に対する周期写像2013

    • Author(s)
      池田京司
    • Organizer
      ワークショップ「ホッジ理論と代数幾何学」
    • Place of Presentation
      東京電機大学 (東京千住キャンパス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] 3次超曲面の幾何とホッジ構造2011

    • Author(s)
      池田京司
    • Organizer
      代数学シンポジウム
    • Place of Presentation
      岡山大学(岡山市)
    • Year and Date
      2011-08-10
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] 3次超曲面の幾何とホッジ構造2011

    • Author(s)
      池田京司
    • Organizer
      代数学シンポジウム
    • Place of Presentation
      岡山大学環境理工学部
    • Year and Date
      2011-08-10
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] ヘッシアンを分岐因子とする3次曲面の2重被覆2011

    • Author(s)
      池田京司
    • Organizer
      隠岐セミナー
    • Place of Presentation
      島根県、隠岐島文化会館(招待講演)
    • Year and Date
      2011-08-22
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] 3次超曲面の幾何とホッジ構造2011

    • Author(s)
      池田京司
    • Organizer
      代数学シンポジウム
    • Place of Presentation
      岡山県、岡山大学(招待講演)
    • Year and Date
      2011-08-10
    • Data Source
      KAKENHI-PROJECT-23340008
  • [Presentation] 次超曲面のEckardt点について2010

    • Author(s)
      池田京司
    • Organizer
      射影多様体の幾何とその周辺2010
    • Place of Presentation
      高知大学理学部
    • Year and Date
      2010-11-06
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] Nodal cubic surfaces and Eisenstein series2010

    • Author(s)
      池田京司
    • Organizer
      代数幾何の関連する 諸分野
    • Place of Presentation
      北海道大学理学部
    • Year and Date
      2010-08-30
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] Nodal cubic surfaces and Eisenstein series2010

    • Author(s)
      池田京司
    • Organizer
      特異点と多様体の幾何学
    • Place of Presentation
      山形大学理学部
    • Year and Date
      2010-09-18
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] Nodal cubic surfaces and Eisenstein series2010

    • Author(s)
      池田京司
    • Organizer
      代数幾何の関連する諸分野
    • Place of Presentation
      北海道大学理学部
    • Year and Date
      2010-08-30
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] Nodal cubic surfaces and Eisenstein series2010

    • Author(s)
      池田京司
    • Organizer
      特異点と多様体の幾 何学
    • Place of Presentation
      山形大学理学部
    • Year and Date
      2010-09-18
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] 3次超曲面のEckardt点について2010

    • Author(s)
      池田京司
    • Organizer
      射影多様体の幾何とその周辺2010
    • Place of Presentation
      高知大学理学部
    • Year and Date
      2010-11-06
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] Nodal cubic surfaces and generalized Kummer surfaces2010

    • Author(s)
      池田京司
    • Organizer
      複素幾 何と代数幾何の若手研究集会
    • Place of Presentation
      熊本大学理学部
    • Year and Date
      2010-02-19
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] Nodal cubic surfaces and generalized Kummer surfaces2010

    • Author(s)
      池田京司
    • Organizer
      複素幾何と代数幾何の若手研究集会
    • Place of Presentation
      熊本大学理学部
    • Year and Date
      2010-02-19
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] A period map for cubic surfaces2009

    • Author(s)
      池田京司
    • Organizer
      Hodge理論と代数幾何学
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-29
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] Aperiod map fbr cubic surfaces, Hodge2009

    • Author(s)
      池田京司
    • Organizer
      理論と代数幾何学
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-06-29
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] Periods and geometry of cubic forms2008

    • Author(s)
      池田京司
    • Organizer
      Geometry of singularities and manifolds
    • Place of Presentation
      草津セミナーハウス
    • Year and Date
      2008-09-13
    • Data Source
      KAKENHI-PROJECT-20740014
  • [Presentation] The double cover of a cubic surfaces branched along its Hessian2008

    • Author(s)
      Atsushi, Ikeda
    • Organizer
      Algebraic geometry and topology of Hodge theory, degeneration and singularity
    • Place of Presentation
      Tohoku Gakuin University
    • Year and Date
      2008-03-10
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540033
  • [Presentation] The double cover of a cubic surface branched along its Hessian2008

    • Author(s)
      池田京司
    • Organizer
      Hodge理論, 退化, 特異点の代数幾何とトポロジー研究集会
    • Place of Presentation
      東北学院大学
    • Year and Date
      2008-03-10
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540033
  • [Presentation] The varieties of intersections of lines and hypersurfaces in projective spaces2007

    • Author(s)
      Atsushi, Ikeda
    • Organizer
      RIMS Workshop High dimensional algebras variety and vector bundles
    • Place of Presentation
      Kyoto University
    • Year and Date
      2007-07-03
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540033
  • [Presentation] The varieties of intersections of lines and hypersurfaces in projective spaces2007

    • Author(s)
      池田京司
    • Organizer
      RIMS研究集会 「高次元代数多様体とベクトル束」
    • Place of Presentation
      京都大学
    • Year and Date
      2007-07-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540033
  • [Presentation] Cubic surfaces with two nodes and symmetric square s of Picard curves

    • Author(s)
      Atsushi Ikeda
    • Organizer
      第11回代数曲線論シンポジウム
    • Place of Presentation
      首都大学東京
    • Data Source
      KAKENHI-PROJECT-25400049
  • [Presentation] ある楕円曲面の族に対する周期写像

    • Author(s)
      Atsushi Ikeda
    • Organizer
      ワークショップ「ホッジ理論と代数幾何学」
    • Place of Presentation
      東京電機大学
    • Data Source
      KAKENHI-PROJECT-25400049
  • [Presentation] Varieties of tangent lines to hypersurfaces

    • Author(s)
      Atsushi Ikeda
    • Organizer
      第3回代数曲面ワークショップ at 秋葉原
    • Place of Presentation
      首都大学東京秋葉原サテライトキャンパス
    • Data Source
      KAKENHI-PROJECT-25400049
  • 1.  USUI Sampei (90117002)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  NAKAYAMA Chikara (70272664)
    # of Collaborated Projects: 1 results
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  • 3.  KONNO Kazuhiro (10186869)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  ASHIKAGA Tadashi (90125203)
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    # of Collaborated Products: 0 results
  • 5.  FUJIKI Akira (80027383)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  OGUISO Keiji (40224133)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  TAKAHASHI Atsushi (50314290)
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  • 8.  OHNO Koji (20252570)
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  • 9.  WATANABE Kenta (70582683)
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  • 10.  KATO Kazuya (90111450)
    # of Collaborated Projects: 1 results
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  • 11.  KIMURA Shun-ichi (10284150)
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  • 12.  KIMURA Kenichiro (50292496)
    # of Collaborated Projects: 1 results
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  • 13.  YAMAZAKI Takao (00312794)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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