NAKAJIMA Haruhisa 中島晴久

Researcher Number	90145657
Affiliation *help	2014 – 2017 : 桜美林大学, 自然科学系, 教授 2002 – 2004 : 城西大学, 理学部, 教授 1998 – 1999 : 城西大学, 理学部, 教授 1996 : 城西大学, 理学部, 助教授 1994 : 慶應義塾大学, 法学部, 助教授 1987 – 1990 : 東京都立大学, 理学部, 助教授 1986 : 東京都立大学, 理学部, 助手
Review Section/Research Field	Principal Investigator Algebra / 代数学・幾何学 / Algebra Except Principal Investigator 代数学・幾何学
Keywords	Principal Investigator 不変式 / 代数群 / 代数的トーラス / 半単純代数群 / 簡約代数群 / 準*定作用 / 相対同次元作用 / オートマトン / 因子類群 / 擬鏡映 … More Except Principal Investigator 有理関数体 / 相対双対層 / 射影空間・二次超曲面 / 基本単数(系) / 有理連結性 / 有限モノドロミー群 / 球体充填 / フックス型方程式 / Fermat curves / Mordell-Weil格子 / モノドロミー群 / 線型常微分方程式の大域理論 / 極大有理連結ファイブレーション / 位相型の有限性 / 一般Hecke作用素 / 有限群 / Fano多様体 / イデアル類群 / 極大有理連結ファイブレ-ション / 群の表現 / 極大有理連結部分多様体 / KaGG"HHhlenーEinstein計量 / maximal rationally connected fibration / 曲面孤立特異点 / 相対変形理論 / 多項式環 / Fermat曲線 / 楕円モデュラ-型式 / 球体充てん / Monoge-Ampere方程式 / 不変式 / 相対変形 / 既約制判定条件 / 反射層 / Q上の楕円曲線 / projective spaces and hyperquadrics / 大久保typeの方程式 / モデユライ理論 / 曲面上の曲線族 / 一般型多様体 / 類数 / sphere packing / relative deformation / MordellーWeil格子 / 乗法的作用 / 類数公式 / 分類理論 / 整数表現 / 不変部分体 / 有界性定理 / curves on a surface / 単数 / Fano manifolds / Hecke作用素 / シュワルツ理論 / Mardell-Weil lattices Less

Various aspecst of pseudo-reflection groups and related topicsPrincipal Investigator
- Principal Investigator
  
  中島晴久
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  J. F. Oberlin University
AN ATTEMPT OF UNIFIED INVARIANT THEORY OF ALGEBRAIC GROUPS AND RELATED TOPICSPrincipal Investigator
- Principal Investigator
  
  NAKAJIMA Haruhisa
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  JOSAI UNIVERSITY
Some Homological Properties in Geometric Invariant TheoryPrincipal Investigator
- Principal Investigator
  
  NAKAJIMA Haruhisa
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Josai University
不変式論における変形理論と完全交叉Principal Investigator
- Principal Investigator
  
  中島晴久
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Josai University
代数群の同次元型表現の分類Principal Investigator
- Principal Investigator
  
  中島晴久
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Keio University
有限群の整数表現とその応用
- Principal Investigator
  
  遠藤静男
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Metropolitan University
THEORY OF ALGEBRAIC VARIETIES AND APPLICATIONS TO RELATED TOPICS
- Principal Investigator
  
  MIYAOKA Yoichi
- Project Period (FY)
  1989 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  RIKKYO UNIVERSITY
  Tokyo Metropolitan University
曲面の特異点の回りでの幾何学
- Principal Investigator
  
  佐々井崇雄
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Metropolitan University
半単純代数群の不変式論Principal Investigator
- Principal Investigator
  
  中島晴久
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Metropolitan University
代数体の整数論
- Principal Investigator
  
  石田信
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Metropolitan University
有限群の表現とその応用
- Principal Investigator
  
  遠藤静男
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokyo Metropolitan University

All 2018 2017 2016 2005 2004 2002 Other

All Journal Article Presentation

[Journal Article] Valuative characterization of central extensions of algebraic tori on Krull domains2018
- Author(s)
  Haruhisa Nakajima
- Journal Title
  
  JP Journal of Algebra, Number Theory and Applications
  
  Volume : 40 Pages : 113-146
- DOI
  10.17654/nt040020113
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400019
[Journal Article] Calculation of invariant subrings and their divisor class groups by cutting semi-invariants2018
- Author(s)
  Haruhisa Nakajima
- Journal Title
  
  RIMS Kokyuroku
  
  Volume : to appear
- Open Access / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400019
[Journal Article] Cofree embeddings of algebraic tori preserving canonical sheaves2005
- Author(s)
  中島晴久
- Journal Title
  
  Proc.of the Japan Academy Ser.A (to appear)
- Data Source
  KAKENHI-PROJECT-14540040
[Journal Article] Relative invariants of groups acting on Krull domains2004
- Author(s)
  中島晴久
- Journal Title
  
  Proc.the 37th.Symposium on Ring Theory and Representation Theory 37
  
  Pages : 60-71
- Data Source
  KAKENHI-PROJECT-14540040
[Journal Article] Relative invariants of groups acting on Krull domains2004
- Author(s)
  中島晴久
- Journal Title
  
  Proc.the 37^<th> Symposium on Ring Theory and Representation Theory 37
  
  Pages : 60-71
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540040
[Journal Article] Relative Invariants of Groups Acting on Krull Domains and Applications2004
- Author(s)
  Nakajima Haruhisa
- Journal Title
  
  Proceeding of the Symposium on Ring Theory and Representations 37
  
  Pages : 60-71
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540040
[Journal Article] Equidimensional Actions of Algebraic Tori on Normal Graded Domains2002
- Author(s)
  Nakajima Haruhisa
- Journal Title
  
  Proceeding of the Symposium on Ring Theory and Representations 35
  
  Pages : 177-184
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540040
[Journal Article] Divisorial free modules of relative invariants on Krull domains
- Author(s)
  中島晴久
- Journal Title
  
  Journal of Algebra (To appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540040
[Journal Article] Divisorial Free Modules of Relative Invariants on Krull Domains
- Author(s)
  Nakajima Haruhisa
- Journal Title
  
  Journal of Algebra (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540040
[Presentation] Calculation of invariant rings by cutting semi-invarians2018
- Author(s)
  Haruhisa Nakajima
- Organizer
  RIMS Symposia (open) "Developments of Language, Logic, Algebraic System and Computer Science"
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400019
[Presentation] Liftings of pseudo-reflection groups on invariant subrings of Krull domains of algebraic subtori under actions of reductive groups2017
- Author(s)
  Haruhisa Nakajima
- Organizer
  日本数学会
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400019
[Presentation] Pseudo-reflections of stable regular actions of finite central extensions of algebraic tori in free characteristics2016
- Author(s)
  Haruhisa Nakajima
- Organizer
  The Mathematical Society of Japan
- Place of Presentation
  関西大学
- Data Source
  KAKENHI-PROJECT-26400019

1. 遠藤静男 (80087014)

# of Collaborated Projects : 4results

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2. MIKI Hiroo (90107368)

# of Collaborated Projects : 4results

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3. 石田信 (40087010)

# of Collaborated Projects : 3results

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4. ISHIBASHI Hiroyuki (90118513)

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5. 笹倉頌夫 (20087026)

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6. 蔵野和彦 (90205188)

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7. 石川武志 (10087017)

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8. YOSHIZAWA Mitsuo (40118774)

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9. 中村憲 (80110849)

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10. 佐々井崇雄 (00094269)

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11. MIYAOKA Yoichi (50101077)

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12. SEKIGUCHI Katsusuke (20146749)

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13. 戸瀬信之 (00183492)

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14. 小宮英敏 (90153676)

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15. 渡部睦夫 (30080493)

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16. 多田稔 (50275814)

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17. 菅野恒雄 (80016021)

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18. 小島定吉 (90117705)

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19. 大森常住 (50110846)

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20. 村田実 (50087079)

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21. 江尻典雄 (80145656)

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22. SHIODA Tetuji (00011627)

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23. AOKI Noboru (30183130)

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24. 栗原将人 (40211221)

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25. 辻元 (30172000)

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26. 卜部東介 (70145655)

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27. 荻上絋一 (10087025)

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28. OGAWA Yoshito (60160777)

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29. YAMAGUCHI Hiroshi (20137798)

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30. KOGISO Takeyori (20282296)

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NAKAJIMA Haruhisa 中島 晴久

Research Projects

Research Products

Co-Researchers

Various aspecst of pseudo-reflection groups and related topicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

AN ATTEMPT OF UNIFIED INVARIANT THEORY OF ALGEBRAIC GROUPS AND RELATED TOPICSPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Some Homological Properties in Geometric Invariant TheoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

不変式論における変形理論と完全交叉Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

代数群の同次元型表現の分類Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

有限群の整数表現とその応用

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

THEORY OF ALGEBRAIC VARIETIES AND APPLICATIONS TO RELATED TOPICS

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

曲面の特異点の回りでの幾何学

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

半単純代数群の不変式論Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

代数体の整数論

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

有限群の表現とその応用

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Valuative characterization of central extensions of algebraic tori on Krull domains2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Calculation of invariant subrings and their divisor class groups by cutting semi-invariants2018

Author(s)

Journal Title

Data Source

[Journal Article] Cofree embeddings of algebraic tori preserving canonical sheaves2005

NAKAJIMA Haruhisa 中島晴久