HORIE Kuniaki 堀江邦明

Researcher Number	20201759
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2003 – 2004: 東海大学, 理学部, 教授 1993 – 1998: 東海大学, 理学部, 助教授 1991 – 1992: 奈良女子大学, 理学部, 助教授
Review Section/Research Field	Principal Investigator Algebra / 代数学・幾何学 Except Principal Investigator Algebra / Algebra / 代数学・幾何学
Keywords	Principal Investigator 代数体 / number knot / 岩澤理論 / CM体 / 岩澤不変量 / CM-体 / Iwasawa theory / infinite extension / CM-field / totally real field … More / algebraic num-ber field / Iwasawa mu-invariant / Iwasawa lambda-invariant / 無限次拡大 / 総実体 / 岩澤μ-不変量 / 岩澤λ-不変量 / 類体論 / コホモロジー論 / 木田公式 / 相対類数 / 総実代数体 / 位相写像 / 距離 / 単数群 / 類数 / Zp-拡大 / ideal類群 … More Except Principal Investigator F-rational ring / rational singularity / Frobenius map / p-進ホッジ構造 / 保型形式 / エタール・コホモロジー群 / モジュラー曲線 / 代数曲線 / 類群 / Eisenstein series / Hecke algebras / cyclotomic fields / modular forms / アイゼンシュタイン級数 / ヘッケ環 / 円分体 / モジュラー形式 / Hilbert-Kunz multiplicity / regular ring / Terminal Singularity / Singularities / Algebraic Geometry / F-regular ring / log-terminal singularity / canonical singularity / F-terminal ring / GNentein ring / geometric genus / test ideal / F-teruinal ring / terninal singularity / (例外因子の)discropanciy / 特異点の解消 / Hilbert-Kung multiplicity / regular local ring / Frobenius写像 / Hilbert-Kunz重複度 / 例外因子 / terminal singularity / 有理特異点 / singularities (特異点論) / algebraic geometry (代数幾何学) / commutative ring theory (可挽環論) / 一般ヤコビ多様体 / ガロワ拡大 / Zp-拡大 / p進L関数 / 円分ZZeー拡大 / 二重記号 / 三重記号 / Pー進L関数 / 岩沢不変量 / 岩沢理論 Less

Modular forms and the number theory of cyclotomic fields.
- Principal Investigator
  
  OHTA Masami
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
Study of algebraic number fields related to Iwasawa invariantsPrincipal Investigator
- Principal Investigator
  
  HORIE Kuniaki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
岩澤理論に関連した代数体の研究Principal Investigator
- Principal Investigator
  
  堀江邦明
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
代数曲線の塔に付随するコホモロジー群と保型形式
- Principal Investigator
  
  太田雅己
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
Applications of Frobenius map to Commutative Ring Theory and Algebraic Geometry
- Principal Investigator
  
  WATANABE Keiichi
- Project Period (FY)
  1995 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  NIHON UNIVERSITY
  Tokai University
代数曲線の塔に付随するコホモロジー群と保型形式
- Principal Investigator
  
  OHTA Masami
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
岩澤理論に関連した代数体の研究Principal Investigator
- Principal Investigator
  
  堀江邦明
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
岩澤理論に関連した代数体の研究
- Principal Investigator
  
  赤川安正
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nara Women's University
岩澤理論に関連した代数体の研究Principal Investigator
- Principal Investigator
  
  堀江邦明
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nara Women's University
岩沢理論と岩沢不変量
- Principal Investigator
  
  赤川安正
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nara Women's University

All 2004 2003

All Journal Article

[Journal Article] On number knots2004
- Author(s)
  Kuniaki Horie, Mitsuko Horie
- Journal Title
  
  Proc.of the 2nd Workshop on number theory
  
  Pages: 49-67
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540046
[Journal Article] On number knots2004
- Author(s)
  Kuniaki Horie, Mitsuko Horie
- Journal Title
  
  Poc.of the 2nd Workshop on Number Theory
  
  Pages: 49-67
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540046
[Journal Article] Or number Knots2004
- Author(s)
  Kuniaki Horie
- Journal Title
  
  Pnoc.of the 2nd workshop on number theory
  
  Pages: 49-67
- Data Source
  KAKENHI-PROJECT-15540046
[Journal Article] Relations among certain number knots2003
- Author(s)
  Kuniaki Horie, mitsuko Horie
- Journal Title
  
  Acta Anith. 108・4
  
  Pages: 303-313
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540046
[Journal Article] Relations among certain number knots2003
- Author(s)
  Kuniaki Horie, Mitsuko Horie
- Journal Title
  
  Acta.Arith 108.4
  
  Pages: 303-313
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540046

1. OHTA Masami (40025490)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. 赤川安正 (10028102)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. 落合豊行 (70016179)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. 土井誠 (20049729)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. 田中実 (10112773)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. 杉田公生 (60056083)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. 上部恒和 (70025394)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. 草場公邦 (20087076)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. 和泉澤正隆 (50108445)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. 静田靖 (90027368)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 藤田収 (40031645)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 加藤信 (10243354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 小林治 (10153595)

# of Collaborated Projects: 1 results

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14. 上田勝 (80193811)

# of Collaborated Projects: 1 results

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15. 氏家勝巳 (50055852)

# of Collaborated Projects: 1 results

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16. 赤松豊博 (00112772)

# of Collaborated Projects: 1 results

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17. 楢崎隆 (70119692)

# of Collaborated Projects: 1 results

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18. 伊藤達夫 (20151516)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. WATANABE Keiichi (10087083)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. ITAI Masanori (80266361)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. WATANABE Junzo (40022727)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. MATSUURA Yutaka (50096905)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. SUZUKI Masahiko (00171249)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. MORI Makoto (60092532)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 桔梗宏孝 (80204824)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 原正雄 (10238165)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 土屋守正 (00188583)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 内村桂輔 (20092835)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. TSUJI Takae (30349328)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

HORIE Kuniaki 堀江 邦明

Research Projects

Research Products

Co-Researchers

Modular forms and the number theory of cyclotomic fields.

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of algebraic number fields related to Iwasawa invariantsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

岩澤理論に関連した代数体の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

代数曲線の塔に付随するコホモロジー群と保型形式

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Applications of Frobenius map to Commutative Ring Theory and Algebraic Geometry

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

代数曲線の塔に付随するコホモロジー群と保型形式

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

岩澤理論に関連した代数体の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

岩澤理論に関連した代数体の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

岩澤理論に関連した代数体の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

岩沢理論と岩沢不変量

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On number knots2004

Author(s)

Journal Title

Description

Data Source

[Journal Article] On number knots2004

Author(s)

Journal Title

Description

Data Source

[Journal Article] Or number Knots2004

Author(s)

Journal Title

Data Source

[Journal Article] Relations among certain number knots2003

Author(s)

HORIE Kuniaki 堀江邦明