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SEKIGUCHI Tsutomu
関口 力
Connect your ORCID iD
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Researcher Number
70055234
Other IDs
External Links
Affiliation (based on the past Project Information)
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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
代数学・幾何学
/
Algebra
/
Algebra
Except Principal Investigator
解析学
/
Algebra
/
Geometry
/
General mathematics (including Probability theory/Statistical mathematics)
/
代数学・幾何学
/
Algebra
Keywords
Principal Investigator
群スキーム / Artin-Schreier / Kummer / 代数曲線 / Witt群 / ウィット群 / Group scheme / Kummer理論 / 巡回拡大 / 変形群スキーム
…
More
/ アルティンーシュライアーウィット理論 / クンマ-理論 / 群スキ-ム / アルティン-シュライア-ウィット理論 / 拡大群 / Witt group / algebraic curve / extension / Witt vector / Artin-Hasse / Artin-Schreier-Witt理論 / Kummer theory / group scheme / 群スキームの拡大 / 引き上げ問題 / 代数曲線被覆 / Kummer 理論 / Artin-Schreier-Witt 理論 / Picard 群 / クンマ-拡大 / 群変形 / クンマー-アルティン-シュライア-理論 / クンマー理論 / アルティン-シュライア-理論 / artin-Schreier-Witt理論 / Artin-Schreir Witt理論 / Artin-Schrecer-Wittl理論 / Witt vectors / extension group / Artin-Schreier-Witt theory / Wittベクトル / Artin-Hasse指数関数 / Cartier加群 / Arti-Hasse指数関数 / Canties加群 / 群スキームの変形 / Artin-Scheme-Witt theory / Artin-hasse exponential series / extension of group schemes / Cartier module / N〓ron blow-up / Algebraic curve / Extension
…
More
Except Principal Investigator
粘性解 / 非線形偏微分方程式 / 最適制御 / 放物型方程式 / ベルマン方程式 / 微分ゲーム / 結び目 / 階数1の不確定型特異点 / Stable domains / Kummer理論 / Witt vector / 代数群 / Artin-Hasse exponential series / fppf cohomology / etale cohomology / 楕円型方程式 / 全実極小部分多様体 / 複素射影空間 / スカラー曲率 / 平行部分多様体 / リーマン面の自己同型 / アイヒラーの指標公式 / 有限群の指標表 / 平均曲率流 / グラフ / 埋め込み / 平面的グラフ / 非平面的グラフ / 接触構造 / シンプレクティク構造 / 葉層構造 / Anosov流 / 絡み2次形式 / 体積保存流 / ゼータ関数 / 凸錐体 / Non-Poincar'e条件 / 簡約化方程式のStable domains / スペクトラム / ラプラシアン / リ-マン多様体 / 局所対称性 / reduced(Bochner)ラプラシアン / generalizedラプラシアン / アインシュタイン / p-形式 / リーマン多様体 / 退化楕円型偏微分方程式 / ハミルトン・ヤコビ・ベルマン方程式 / 退化楕円型方程式 / 微分ゲ-ム / 退化楕円形方程式 / Viscosity Solutions / Degenerate Elliptic Partial Differential Equations / Optimal Control / Hamilton-Jacobi Equations / Mean Curvature Flow / モジュラリティ予想 / モジュライ / アーベル多様体 / GL_2型 / ガロア表現 / モジュラー予想 / モジュラリティ / (1)-curve / QM-curue / Modularity Conjecture / Moduli / Abelian variety / GLィイD22ィエD2-type / Galois representation / 非Poincare条件 / 不動点定理 / 階数1の退化不確定型特異点 / Irregular type singularity of rank 1 / Non Poincare condition / Fixed point technique / Artin-Hasse exponential serie / Artin-Schreier-Witt理論 / 形式群 / Cartier理論 / Artin-Hasse exponention series / Kummer Theory / Artin-Schreier-Witt theory / algebraic group / formal group / Cartier theory / 絡み目 / 位相不変量 / Jones多項式 / 対話型証明系 / 計算論的トポロジー / 計算量 / アルゴリズム / グラフ理論 / 量子アルゴリズム / knot / link / topological invariant / Jones polynomial / interactive proof system / computational topology / 群scheme / Artin-Schreier理論 / Kummer-Artin-Schreier理論 / twisted Kummer理論 / equivariant compactification / 生成多項式 / group scheme / Kummer theory / Artin-Schreier theory / Kummer-Artin-Schreier theory / twisted Kummer theory / リーマン面の自己同型群
Less
Research Projects
(
23
results)
Research Products
(
3
results)
Co-Researchers
(
18
People)
Project Start Year (Newest)
Project Start Year (Oldest)
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 theory
Principal 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 theory
Principal 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 extensions
Principal 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 curves
Principal 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 curves
Principal 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
# of Projects (Dsc)
# of Projects (Asc)
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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