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SEKIGUCHI Tsutomu  関口 力

ORCIDConnect your ORCID iD *help
Researcher Number 70055234
Other IDs
External Links
Affiliation (based on the past Project Information) *help 1986 – 2008: Chuo University Faculty of Science and Engineering, 理工学部, 教授
1986: 中央大, 理工学部, 教授
Review Section/Research Field
Principal Investigator
Algebra / 代数学・幾何学 / Algebra
Except Principal Investigator
解析学 / Algebra / General mathematics (including Probability theory/Statistical mathematics) / Geometry / Algebra / 代数学・幾何学
Keywords
Principal Investigator
群スキーム / Kummer / Artin-Schreier / Kummer理論 / Group scheme / ウィット群 / Witt群 / 代数曲線 / 群スキームの拡大 / group scheme … More / Kummer theory / Artin-Schreier-Witt理論 / Artin-Hasse / Witt vector / extension / algebraic curve / Witt group / 拡大群 / アルティン-シュライア-ウィット理論 / 群スキ-ム / クンマ-理論 / アルティンーシュライアーウィット理論 / 変形群スキーム / 巡回拡大 / Extension / Algebraic curve / N〓ron blow-up / Cartier module / extension of group schemes / Artin-hasse exponential series / Artin-Scheme-Witt theory / 群スキームの変形 / Canties加群 / Arti-Hasse指数関数 / Cartier加群 / Artin-Hasse指数関数 / Wittベクトル / Artin-Schreier-Witt theory / extension group / Witt vectors / Artin-Schrecer-Wittl理論 / Artin-Schreir Witt理論 / artin-Schreier-Witt理論 / アルティン-シュライア-理論 / クンマー理論 / クンマー-アルティン-シュライア-理論 / 群変形 / クンマ-拡大 / Picard 群 / Artin-Schreier-Witt 理論 / Kummer 理論 / 代数曲線被覆 / 引き上げ問題 … More
Except Principal Investigator
最適制御 / 非線形偏微分方程式 / 粘性解 / etale cohomology / fppf cohomology / Artin-Hasse exponential series / 代数群 / Witt vector / Kummer理論 / Stable domains / 階数1の不確定型特異点 / 結び目 / 微分ゲーム / ベルマン方程式 / 放物型方程式 / リーマン面の自己同型群 / twisted Kummer theory / Kummer-Artin-Schreier theory / Artin-Schreier theory / Kummer theory / group scheme / 生成多項式 / equivariant compactification / twisted Kummer理論 / Kummer-Artin-Schreier理論 / Artin-Schreier理論 / 群scheme / computational topology / interactive proof system / Jones polynomial / topological invariant / link / knot / 量子アルゴリズム / グラフ理論 / アルゴリズム / 計算量 / 計算論的トポロジー / 対話型証明系 / Jones多項式 / 位相不変量 / 絡み目 / Cartier theory / formal group / algebraic group / Artin-Schreier-Witt theory / Kummer Theory / Artin-Hasse exponention series / Cartier理論 / 形式群 / Artin-Schreier-Witt理論 / Artin-Hasse exponential serie / Fixed point technique / Non Poincare condition / Irregular type singularity of rank 1 / 階数1の退化不確定型特異点 / 不動点定理 / 非Poincare条件 / Galois representation / GLィイD22ィエD2-type / Abelian variety / Moduli / Modularity Conjecture / QM-curue / (1)-curve / モジュラリティ / モジュラー予想 / ガロア表現 / GL_2型 / アーベル多様体 / モジュライ / モジュラリティ予想 / Mean Curvature Flow / Hamilton-Jacobi Equations / Optimal Control / Degenerate Elliptic Partial Differential Equations / Viscosity Solutions / 退化楕円形方程式 / 微分ゲ-ム / 退化楕円型方程式 / ハミルトン・ヤコビ・ベルマン方程式 / 退化楕円型偏微分方程式 / リーマン多様体 / p-形式 / アインシュタイン / generalizedラプラシアン / reduced(Bochner)ラプラシアン / 局所対称性 / リ-マン多様体 / ラプラシアン / スペクトラム / 簡約化方程式のStable domains / Non-Poincar'e条件 / 凸錐体 / ゼータ関数 / 体積保存流 / 絡み2次形式 / Anosov流 / 葉層構造 / シンプレクティク構造 / 接触構造 / 非平面的グラフ / 平面的グラフ / 埋め込み / グラフ / 平均曲率流 / 有限群の指標表 / アイヒラーの指標公式 / リーマン面の自己同型 / 平行部分多様体 / スカラー曲率 / 複素射影空間 / 全実極小部分多様体 / 楕円型方程式 Less
  • Research Projects

    (23 results)
  • Research Products

    (3 results)
  • Co-Researchers

    (18 People)
  •  On the lifting problem of cyclic coverings of non-singular curvesin characteristic P to them in characteristic 0.Principal Investigator

    • Principal Investigator
      SEKIGUCHI Tsutomu
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chuo University
  •  Around Kummer-Artin-Screier-Witt theories

    • Principal Investigator
      SUWA Noriyuki
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chuo University
  •  On computational algorithms of invariatns of links and graphs

    • Principal Investigator
      YAMAMOTO Makoto
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      CHUO UNIVERSITY
  •  Applications of the Kummer-Artin-Schreier-Witt theory to Number Theory and to Algebraic Geometry

    • Principal Investigator
      SUWA Noriyuki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chuo University
  •  On the compactification of Witt group schemes and the deformation of Art theoryPrincipal Investigator

    • Principal Investigator
      SEKIGUCHI Tsutomu
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chuo University
  •  Modular Conjecture

    • Principal Investigator
      MOMOSE Fumiyuki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chuo University
  •  Stable domains for differential equations and a fixed point theorem

    • Principal Investigator
      IWANO Masahiro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      CHUO UNIVERSITY
  •  擬対称領域から生じる第2種尖点の研究

    • Principal Investigator
      佐武 一郎
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chuo University
  •  微分方程式の研究

    • Principal Investigator
      岩野 正宏
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chuo University
  •  The Kummer-Artin-Schreier-Witt theory and the deformations of the Art theoryPrincipal Investigator

    • Principal Investigator
      SEKIGUCHI Tsutomu
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      CHUO UNIVERSITY
  •  非線形偏微分方程式の粘性解とその応用の研究

    • Principal Investigator
      石井 仁司
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chuo University
  •  位相幾何学的グラフ理論の研究

    • Principal Investigator
      YAMAMOTO Makoto
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Chuo University
  •  流体力学的不変量による3次元多様体とその上の力学系の研究

    • Principal Investigator
      三松 佳彦
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chuo University
  •  空間型内の極小部分多様体について

    • Principal Investigator
      松山 善男
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Chuo University
  •  指標理論のリーマン面の自己同型群への応用

    • Principal Investigator
      栗林 あき和
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chuo University
  •  Deformation theory of group schemes and Construction of extensionsPrincipal Investigator

    • Principal Investigator
      SEKIGUCHI Tsutomu
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      CHUO UNIVERSITY
  •  非線形楕円型及び放物型偏微分方程式の研究

    • Principal Investigator
      ISHII Hitoshi
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chuo University
  •  On the deformations of cyclic Galois coverings of algebraic curvesPrincipal Investigator

    • Principal Investigator
      SEKIGUCHI Tsutomu
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chuo University
  •  A study on nonlinear degenerate elliptic partial differential equations

    • Principal Investigator
      ISHII Hitoshi
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      CHUO UNIVERSITY
  •  リ-マン多様体のスペクトラムについて

    • Principal Investigator
      松山 善男
    • Project Period (FY)
      1988 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chuo University
  •  On the deformations of cyclic Galoi coverings of algebraic curvesPrincipal Investigator

    • Principal Investigator
      SEKIGUCHI Tsutomu
    • Project Period (FY)
      1987 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chuo University
  •  曲線とその自己同形の標数零への引き上げについてPrincipal Investigator

    • Principal Investigator
      関口 力
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chuo University
  •  Some investigations on Riemann surfaces

    • Principal Investigator
      KURIBAYASHI Akikazu
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chuo University

All 2007

All Journal Article Presentation

  • [Journal Article] C_(ab) 曲線のPicard 群への Cantor アルゴリズムの拡張について2007

    • Author(s)
      三浦 晋示、関口 力
    • Journal Title

      「2007代数曲線暗号を巡って」報告集

      Pages: 31-35

    • Data Source
      KAKENHI-PROJECT-19540051
  • [Presentation] "On the deformations of group schemes of Witt vectors to tori}2007

    • Author(s)
      SEKIGUCHI TSUTOMU
    • Organizer
      Workshop on Arithmetic Geometry and Related Area
    • Place of Presentation
      Toronto University, Canada
    • Data Source
      KAKENHI-PROJECT-19540051
  • [Presentation] C_(ab) 曲線の Picard 群への CantOr アルゴリズムの拡張について2007

    • Author(s)
      三浦 晋示、関口 力
    • Organizer
      ワークショップ「2007代数曲線暗号を巡って」
    • Place of Presentation
      中央大学
    • Year and Date
      2007-11-30
    • Data Source
      KAKENHI-PROJECT-19540051
  • 1.  MATSUYAMA Yoshio (70112753)
    # of Collaborated Projects: 19 results
    # of Collaborated Products: 0 results
  • 2.  ISHII Hitoshi (70102887)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 3.  KURIBAYASHI Akikazu (40055033)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 4.  MOMOSE Fumiyuki (80182187)
    # of Collaborated Projects: 12 results
    # of Collaborated Products: 0 results
  • 5.  IWANO Masahiro (70087013)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 6.  MITSUMATSU Yoshihiko (70190725)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 7.  SATAKE Ichirou (00133934)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 8.  YAMAMOTO Makoto (10158305)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 9.  SEKINO Kaoru (40054994)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  SUWA Noriyuki (10196925)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 11.  SUGIYAMA Takakazu (70090371)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  MURAMATU Tosinobu (60027365)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  AOKI Kazuyoshi (50055159)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  早川 圭蔵 (50055191)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  TOKIZAWA Masamichi (50055117)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  HASEGAWA Yuji (30287982)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  HASHIMOTO Ki-ichirou (90143370)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  MIYOSHI Shigeaki (60166212)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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