KOIKE Kenji 小池健二

Researcher Number	20362056
Other IDs
Affiliation (Current)	2025: 山梨大学, 大学院総合研究部, 教授
Affiliation (based on the past Project Information) *help	2017 – 2020: 山梨大学, 大学院総合研究部, 准教授 2014 – 2016: 山梨大学, 総合研究部, 准教授 2012 – 2013: 山梨大学, 教育学研究科(研究院), 准教授 2010 – 2011: 山梨大学, 教育人間科学部, 准教授 2007 – 2008: University of Yamanashi, 教育人間科学部, 准教授 2005 – 2006: 山梨大学, 教育人間科学部, 助教授 2004: 山梨大学, 教育人間科学部, 講師
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related
Keywords	Principal Investigator テータ関数 / 超幾何関数 / Kummer曲面 / K3曲面 / アーベル多様体 / 代数幾何 / 特殊関数 / モノドロミー / 代数多様体 / Schwarz写像 … More / Ｒｉｅｍａｎｎ面 / 三角群 / Calabi-Yau多様体 / 代数曲線 / Weyl群 / Abel多様体 / modular多様体 / ワイル群 / モジュラー多様体 / クンマー曲面 / HessianK3曲面 / 楕円曲面 / 塩田-猪瀬構造 / 3次曲面 / IV型領域 / 点配置 / AGM / Picar曲線 / 算術幾何平均 Less

Special functions and algebraic geometryPrincipal Investigator
- Principal Investigator
  
  KOIKE Kenji
- Project Period (FY)
  2018 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Yamanashi
Study of algebraic curves, K3 surfaces and Abelian varietiesPrincipal Investigator
- Principal Investigator
  
  KOIKE Kenji
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Yamanashi
families of K3 surfaces parameterized by Hermitian half spacesPrincipal Investigator
- Principal Investigator
  
  KOIKE Kenji
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Yamanashi
The moduli space of cubic surfaces via Hessian K3 surfacesPrincipal Investigator
- Principal Investigator
  
  KOIKE Kenji
- Project Period (FY)
  2010 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Yamanashi
Algebro-geometrical and number-theoretical study of Abelian Varieties and its applications to cryptographyPrincipal Investigator
- Principal Investigator
  
  KOIKE Kenji
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Yamanashi
Abel多様体の周辺Principal Investigator
- Principal Investigator
  
  小池健二
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Yamanashi

All 2020 2018 2015 2013 2011 2008 2007 Other

All Journal Article Presentation

[Journal Article] Picard-Vessiot groups of Lauricella's hypergeometric systems EC and Calabi-Yau varieties arising integral representations2020
- Author(s)
  Goto Yoshiaki、Koike Kenji
- Journal Title
  
  Journal of the London Mathematical Society
  
  Volume: - Issue: 1 Pages: 22-42
- DOI
  10.1112/jlms.12311
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14149, KAKENHI-PROJECT-18K03236
[Journal Article] The Fermat septic and the Klein quartic as moduli spaces of hypergeometric Jacobians2018
- Author(s)
  Kenji Koike
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 47 Issue: 1 Pages: 109-141
- DOI
  10.14492/hokmj/1520928062
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04815
[Journal Article] Hessian K3 surfaces of non-Sylvester type2011
- Author(s)
  Kenji Koike
- Journal Title
  
  Journal of Algebra
  
  Volume: vol.330 Pages: 388-403
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740007
[Journal Article] An extended Gauss AGM and corresponding Picard modular forms2008
- Author(s)
  小池健二、志賀弘典
- Journal Title
  
  Journal of Number Theory Vol.128
  
  Pages: 2097-2126
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740006
[Journal Article] An extended Gauss AGM and corresponding Picard modular forms2008
- Author(s)
  小池健二、志賀弘典
- Journal Title
  
  Journal of Number Theory 128
  
  Pages: 2097-2126
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740006
[Journal Article] Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean2007
- Author(s)
  Kenji Koike, Hironori Shiga
- Journal Title
  
  Journal of number theory Vol. 124, Issue 1
  
  Pages: 123-141
- Data Source
  KAKENHI-PROJECT-16740009
[Journal Article] Elliptic K3 surfaces admitting a Shioda-Inose structure
- Author(s)
  Kenji Koike
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli
  
  Volume: (掲載予定)
- NAID
  110009595203
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740007
[Presentation] Cyclic heptagonal curves and hypergeometric periods2015
- Author(s)
  Kenji Koike
- Organizer
  Curves, Moduli and Integrable Systems
- Place of Presentation
  津田塾大学(東京都小平市)
- Year and Date
  2015-02-17
- Data Source
  KAKENHI-PROJECT-24540038
[Presentation] A Picard modular 4-fold and the Weyl group W(E6)2013
- Author(s)
  小池健二
- Organizer
  第7回玉原特殊多様体研究集会
- Place of Presentation
  東京大学玉原国際セミナーハウス（群馬県沼田市）
- Data Source
  KAKENHI-PROJECT-24540038
[Presentation] Jacobian Kummer surfaces of degree 82013
- Author(s)
  小池健二
- Organizer
  第２回京都保型形式研究集会
- Place of Presentation
  京都大学（京都府京都市）
- Data Source
  KAKENHI-PROJECT-24540038
[Presentation] 楕円的K3曲面と塩田-猪瀬構造2011
- Author(s)
  小池健二
- Organizer
  第5回玉原特殊多様体研究集会
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2011-09-06
- Data Source
  KAKENHI-PROJECT-22740007
[Presentation] 楕円的K3曲面と塩田-猪瀬構造2011
- Author(s)
  小池健二
- Organizer
  第5回玉原特殊多様体研究集会
- Place of Presentation
  東京大学玉原国際セミナーハウス(群馬県沼田市)
- Year and Date
  2011-09-06
- Data Source
  KAKENHI-PROJECT-22740007
[Presentation] Jacobian Kummer曲面と32本の直線
- Author(s)
  小池健二
- Organizer
  第6回玉原特殊多様体研究集会
- Place of Presentation
  東京大学玉原国際セミナーハウス(群馬県)
- Data Source
  KAKENHI-PROJECT-24540038

1. 後藤良彰

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

KOIKE Kenji 小池 健二

Research Projects

Research Products

Co-Researchers

Special functions and algebraic geometryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of algebraic curves, K3 surfaces and Abelian varietiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

families of K3 surfaces parameterized by Hermitian half spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The moduli space of cubic surfaces via Hessian K3 surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Algebro-geometrical and number-theoretical study of Abelian Varieties and its applications to cryptographyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Abel多様体の周辺Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Picard-Vessiot groups of Lauricella's hypergeometric systems EC and Calabi-Yau varieties arising integral representations2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The Fermat septic and the Klein quartic as moduli spaces of hypergeometric Jacobians2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Hessian K3 surfaces of non-Sylvester type2011

Author(s)

Journal Title

Data Source

[Journal Article] An extended Gauss AGM and corresponding Picard modular forms2008

Author(s)

Journal Title

Data Source

[Journal Article] An extended Gauss AGM and corresponding Picard modular forms2008

Author(s)

Journal Title

Data Source

[Journal Article] Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean2007

Author(s)

Journal Title

Data Source

[Journal Article] Elliptic K3 surfaces admitting a Shioda-Inose structure

Author(s)

Journal Title

NAID

Data Source

[Presentation] Cyclic heptagonal curves and hypergeometric periods2015

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] A Picard modular 4-fold and the Weyl group W(E6)2013

Author(s)

Organizer

KOIKE Kenji 小池健二