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TAKEUCHI Kisao
竹内 喜佐雄
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Alternative Names
竹内 喜佐雄 タケウチ キサオ
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Researcher Number
00011560
Other IDs
Affiliation (based on the past Project Information)
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1994 – 2005: 埼玉大学, 理学部, 教授
1994: 埼玉大学, 教授
1991: 埼玉大学, 理学部数学, 教授
1988 – 1990: 埼玉大学, 理学部, 教授
Review Section/Research Field
Principal Investigator
代数学・幾何学
/
Algebra
Except Principal Investigator
Algebra
/
Geometry
/
代数学・幾何学
/
Algebra
/
解析学
Keywords
Principal Investigator
数論的不連続群 / 数論的代数曲面 / 複素射影空間 / ヤコビ形式 / ドラ-ムの定理 / 特異点 / 線型MHD作用素 / 数論 / 不連続群 / 代数体
…
More
/ 判別式 / Number theory / Discontinuous group / Algebraic number field / Discriminant
…
More
Except Principal Investigator
特異点 / 代数曲面 / 平面曲線 / ゼータ関数 / 葉層構造 / 巡回被覆 / クレモナ変換 / 有理関数 / plane curve / Leibniz algebra / Leibniz cohomology / 代数多様体 / K3曲面 / 概均質(prehomogeneouo) / 超局所(microlral) / モジュライ / 付値 / 指数定理 / スピン構造 / Dirac作用素 / Spin^q構造 / twistor構造 / エータ不変量 / 断熱極限 / シンプレクティック構造 / quarternionic symplectic / twistor space / η-invariant / Schouten bracket / generalized divergence / addiabatic limit / spin^q structure / Dirac operator / 複数射影空間 / 実部分多様体 / 特性類 / 正規曲面 / 有理突点曲線 / MHD-作用素 / 射影空間 / ベッチ数 / モジュラー群 / 多様体 / 葉層 / Bellman方程式 / 4元数 / 量子束 / 概接触構造 / cyclic covering / Betti number / algebraic surface / singularities / projective space / modular group / monifold / foliation / 総ミルナー数 / 有理曲線 / 尖点 / 2次変換 / 重複度列 / 環と体 / 特異点解消 / 重複度 / 変形 / 有理尖点曲線 / rational curve / cuspidal curve / multiplicity sequence / quadratic transformation / place at infinity / projective equivalence / maximal multiplicity / Nambu-Possin多様体 / 中心拡大 / 特異葉層構造 / パフ系 / Nambu-Poisson多様体 / ポアソン多様体 / ヤコビ多様体 / Nambu-Jacobi多様体 / Fundamental Identity / 南部多様体 / ポアソン・ブラケット / 南部・ヤコビブラケット / Nambu-Poisson manifold / central extension / singular foilation / Pfaff system / フロベニウス置換 / 有限体 / 楕円曲線 / 位数計算 / 非アルキメデス的局所体 / フロベニウス写像 / 有理点 / 局所体 / 標準持ち上げ / 楕円曲線暗号 / アルゴリズム / the Frobenius substitutions / finite fields / elliptic curves / order counting / ゴナリティ / 対数的小平次元 / singularity / gonality / Cremona transformation / モジュラ形式 / ジーゲルモジュラ形式 / ヤコビ形式 / 半整数の重さのモジュラ形式 / マース空間 / ヒルベルトモジュラ形式 / modular forms of half integral weight / zeta function / Jacobi form / modular forms / Maass wave form
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Research Projects
(
14
results)
Research Products
(
4
results)
Co-Researchers
(
27
People)
Project Start Year (Newest)
Project Start Year (Oldest)
Arithmetic study of Fourier coefficients of modular forms of half integral weight and Siegel modular forms
Principal Investigator
KOJIMA Hisashi
Project Period (FY)
2004 – 2005
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
SAITAMA UNIVERSITY
Geometry of plane algebraic curves
Principal Investigator
SAKAI Fumio
Project Period (FY)
2003 – 2006
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
Saitama University
Study on the arithmetic discontinuous groups
Principal Investigator
Principal Investigator
TAKEUCHI Kisao
Project Period (FY)
2002 – 2004
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
Saitama University
Number theory for positive characteristics and its application to elliptic curve cryptography
Principal Investigator
SATOH Takakazu
Project Period (FY)
2000 – 2002
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
Saitama University
Global Research of Geometry related with Poisson and Contact Manifolds.
Principal Investigator
MIZUTANI Tadayoshi
Project Period (FY)
1999 – 2001
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Saitama University
Algebraic Geometry of Plane Curves
Principal Investigator
SAKAI Fumio
Project Period (FY)
1997 – 2000
Research Category
Grant-in-Aid for Scientific Research (B).
Research Field
Algebra
Research Institution
Saitama University
多様体における種々の大域的構造の研究
Principal Investigator
水谷 忠良
Project Period (FY)
1995
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Geometry
Research Institution
Saitama University
On Birational Geometry of Algebraic Varieties
Principal Investigator
SAKAI Fumio
Project Period (FY)
1995 – 1996
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
Algebra
Research Institution
Saitama University
代数多様体の分類
Principal Investigator
酒井 文雄
Project Period (FY)
1994
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Algebra
Research Institution
Saitama University
多様体の大域的構造の研究
Principal Investigator
長瀬 正義
Project Period (FY)
1994
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Geometry
Research Institution
Saitama University
概均質空間の構造の研究とその応用
Principal Investigator
矢野 環
Project Period (FY)
1991
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Saitama University
代数多様体の構造
Principal Investigator
SAKAI Fumio
Project Period (FY)
1990
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Saitama University
数論的不連続群の研究
Principal Investigator
Principal Investigator
竹内 喜佐雄
Project Period (FY)
1989
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Saitama University
多様体の総合的研究
Principal Investigator
奥村 正文
Project Period (FY)
1988
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Saitama University
All
Other
All
Journal Article
[Journal Article] Arithmetic Fuchsian groups
Author(s)
K.Takeuchi
Journal Title
(preprint)
Description
「研究成果報告書概要(欧文)」より
Data Source
KAKENHI-PROJECT-14540008
[Journal Article] Imprimitive totally real algebraic number field of degree 10 with minimum discriminant
Author(s)
K.Takeuchi
Journal Title
(preprint)
Description
「研究成果報告書概要(欧文)」より
Data Source
KAKENHI-PROJECT-14540008
[Journal Article] Arithmetic Fuchsian groups
Author(s)
K.TAKEUCHI
Journal Title
preprint
Description
「研究成果報告書概要(和文)」より
Data Source
KAKENHI-PROJECT-14540008
[Journal Article] Imprimitive totally real algebraic number fields of degree 10 with minimum discriminant
Author(s)
K.TAKEUCHI
Journal Title
preprint
Description
「研究成果報告書概要(和文)」より
Data Source
KAKENHI-PROJECT-14540008
# of Projects (Dsc)
# of Projects (Asc)
1.
OKUMURA Masafumi
(60016053)
# of Collaborated Projects:
10 results
# of Collaborated Products:
0 results
2.
SAKAI Fumio
(40036596)
# of Collaborated Projects:
9 results
# of Collaborated Products:
0 results
3.
NAGASE Masayoshi
(30175509)
# of Collaborated Projects:
7 results
# of Collaborated Products:
0 results
4.
MIZUTANI Tadayoshi
(20080492)
# of Collaborated Projects:
7 results
# of Collaborated Products:
0 results
5.
SATOH Takakazu
(70215797)
# of Collaborated Projects:
6 results
# of Collaborated Products:
0 results
6.
YANO Tamaki
(10111410)
# of Collaborated Projects:
6 results
# of Collaborated Products:
0 results
7.
辻岡 邦夫
(30012412)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
8.
FUKUI Toshizumi
(90218892)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
9.
EBIHARA Madoka
(80213578)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
10.
SAKAMOTO Kunio
(70089829)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
11.
加古 孝
(30012488)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
12.
金銅 誠之
(50186847)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
13.
KOIKE Shigeaki
(90205295)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
14.
GON Yasuro
(30302508)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
15.
ARAI Michio
(40008850)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
16.
KOJIMA Hisashi
(90146118)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
17.
KISHIMOTO Takashi
(20372576)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
18.
佐藤 祐吉
(80008812)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
19.
柴田 勝征
(50028213)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
20.
木村 真琴
(30186332)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
21.
EGASHIRA Shinji
(00261876)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
22.
YANAI Hisae
(10008865)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
23.
押切 源一
(70133931)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
24.
川田 浩一
(70271830)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
25.
沼田 稔
(50028255)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
26.
小宮山 晴夫
(90042762)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
27.
宮井 秋男
(70003960)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
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