KAJIWARA Takeshi 梶原健

… Alternative Names

Researcher Number	00250663
Other IDs
Affiliation (Current)	2021: 横浜国立大学, 大学院工学研究院, 教授
Affiliation (based on the past Project Information) *help	2016 – 2020: 横浜国立大学, 大学院工学研究院, 教授 2014 – 2015: 横浜国立大学, 工学(系)研究科(研究院), 教授 2012 – 2013: 横浜国立大学, 工学研究院, 教授 2009 – 2011: Yokohama National University, 工学研究院, 准教授 2010: 横浜国立大学, 大学院・工学研究院, 准教授 … More
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Algebra / Design engineering/Machine functional elements/Tribology
Keywords	Principal Investigator 対数構造 / 一般ヤコビ多様体 / トーリック多様体 / アーベル多様体 / 退化多様体 / 半安定曲線 / 代数幾何 / ピカール多様体 / コンパクト化 / 対数スキーム … More Except Principal Investigator トーリック多様体 / 代数多様体 / toric variety / アーベル多様体 / 凸多面体 / K3曲面 / 代数曲面 / 代数幾何 / 特異点 / 正標数 / フロベニウス写像 / F-特異点 / F-純閾値 / 扇 / モチーフ / 楕円曲線 / 密着閉包 / トロピカル幾何 / algebraic geometry / 有理点 / 高さ / K3局面 / 不定方程式 / 代数局面 / 可換環論 / F-跳躍数 / F-正則性 / フロベニウス射 / ベクトル束 / Q-Gorenstein性 / F-爆発 / Hilbert-Kunz重複度 / 擬斉次 / 半安定性 / 組の特異点 / 対数的標準閾特異点 / F-純特異点の最小中心 / 随伴束 / F-分裂次元 / 循環商特異点 / 代数群 / トーリック / モティーフ / 代数多様本 / 形状モデリング / CAE・CAD / フィッティング / 補間 / 近似 / アーベル曲面 / ファノ多様体 / ケーラー計量 / convex polytpe / abelian surface / Fano variety / Kaehler metric / ブローアップ / リース環 / 可換環 / 楕円曲面 / 強レフシェッツ定理 / 双対化定理 / 交叉コホモロジー群 / 端末特異点 / algebraic variety / abelian variety / elliptic curve / blowup / Rees alebra / fan / 概均質ベクトル空間 / 代数的サイクル / 対数アーベル多様体 / test ideal / 密度定理 / 対数的代数幾何 / 量子群 / Prehomogeneous vector spaces / Toric Variety / Algebraic cycles / Motif / Frobenius / 代数幾何学 / 孤立特異点 / convex polytope / 乗数イデアル / 重複度 / 対数的標準閾値 / CCI曲面 / トロピカル・トーリック多様体 / Buchsbaum斉次代数 / 判定イデアル / P-フラクタル / tight closure / F-singularity / F-pure threshold / tropical geometry / multiplier ideal / multiplicity Less

対数アーベル多様体の幾何とモジュライ空間Principal Investigator
- Principal Investigator
  
  梶原健
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Yokohama National University
Geometry of log abelian varieties and its applicationPrincipal Investigator
- Principal Investigator
  
  Kajiwara Takeshi
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yokohama National University
Log picard varieties and their applicationsPrincipal Investigator
- Principal Investigator
  
  KAJIWARA Takeshi
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yokohama National University
Geometry of Picard varieties of degenerate varietiesvia log structuresPrincipal Investigator
- Principal Investigator
  
  KAJIWARA Takeshi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yokohama National University
Fitting point clouds with normal vectors by geometric algorithm
- Principal Investigator
  
  MAEKAWA Takashi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Design engineering/Machine functional elements/Tribology
- Research Institution
  Yokohama National University
Extensions and applications of the theory of toric varieties
- Principal Investigator
  
  ISHIDA Masanori
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
トロピカルトーリック多様体上の交点理論Principal Investigator
- Principal Investigator
  
  梶原健
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Yokohama National University
Algebro-Geometric Approach to Invariants in Commutative Algebra
- Principal Investigator
  
  HARA Nobuo
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Study on integral convex polytopes and toric varieties
- Principal Investigator
  
  OGATA Shoetsu
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Applications of tight closure and F-singularity to algebraic geometry
- Principal Investigator
  
  HARA Nobuo
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Number Theory and Geometry related to Algebraic Groups
- Principal Investigator
  
  YUKIE Akihiko
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
一般ヤコビ多様体のコンパクト化とその幾何Principal Investigator
- Principal Investigator
  
  梶原健
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
一般ヤコビ多様体のコンパクト化とその幾何学Principal Investigator
- Principal Investigator
  
  梶原健
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Research on duality theorems of modules on fans
- Principal Investigator
  
  ISHIDA Masanori
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
K3局面の数論
- Principal Investigator
  
  森田康夫
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Study on toric varieties, vector bundles on them and their subvarieties
- Principal Investigator
  
  OGATA Shoetsu
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
一般ヤコビ多様体のコンパクト化の幾何Principal Investigator
- Principal Investigator
  
  梶原健
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
一般ヤコビ多様体のコンパクト化Principal Investigator
- Principal Investigator
  
  梶原健
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University

All 2020 2018 2015 2013 2010 2009 2008 2006 2004 Other

All Journal Article Presentation Book

[Book] Nihonhyouronsha2004
- Author(s)
  T.Kajiwara
- Total Pages
  323
- Publisher
  Introduction to Algebraic curves-A first course to Algebraic Geometry
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540004
[Book] 代数曲線入門-はじめての代数幾何2004
- Author(s)
  梶原健
- Total Pages
  323
- Publisher
  日本評論社
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540005
[Book] 代数曲線入門-はじめての代数幾何2004
- Author(s)
  梶原健
- Total Pages
  323
- Publisher
  日本評論社
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540004
[Book] 代数曲線入門-はじめての代数幾何-2004
- Author(s)
  梶原健
- Total Pages
  336
- Publisher
  日本評論社
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340001
[Book] Introduction to Algebraic Curves -The First Step to Algebraic Geometry (in Japanese)2004
- Author(s)
  T.Kajiwara
- Total Pages
  323
- Publisher
  NIHON-HYORON-SHA
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540005
[Book] 代数曲線入門--はじめての代数幾何2004
- Author(s)
  梶原健
- Total Pages
  323
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-14740002
[Book] 代数曲線入門---はじめての代数幾何2004
- Author(s)
  梶原健
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-15340001
[Journal Article] Log abelian varieties, Part VI:local moduli and GAGF2020
- Author(s)
  Takeshi Kajiwara, Kazuya Kato, and Chikara Nakayama
- Journal Title
  
  Yokomama Mathematical Journal
  
  Volume: 65 Pages: 53-75
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04811
[Journal Article] Logarithmic abelian varieties, part V: projective models2018
- Author(s)
  Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama
- Journal Title
  
  Yokohama Mathematical Journal
  
  Volume: 64 Pages: 21-82
- NAID
  120006633341
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04811
[Journal Article] Logarithmic abelian varieties, Part IV: proper models2015
- Author(s)
  Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 218
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540035
[Journal Article] Lograithmic abelian varieties Part III:Logarithmic elliptic curves and modular curves2013
- Author(s)
  Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 210
- DOI
  10.1215/00277630-2077017
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540035
[Journal Article] Tropical toric geometry2008
- Author(s)
  Takeshi Kajiwara
- Journal Title
  
  Toric Topology, M. Harada, et al eds, Contemporary Mathematics 460
  
  Pages: 197-207
- NAID
  120005763693
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654002
[Journal Article] Abelian surfaces in projective 4-folds2006
- Author(s)
  T.Kajiwara
- Journal Title
  
  Archiv der Math. 86
  
  Pages: 43-49
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540004
[Journal Article] Abelian surfaces in projective 4-folds2006
- Author(s)
  T.Kajiwara
- Journal Title
  
  Archiv der Mathematik 86
  
  Pages: 43-49
- Data Source
  KAKENHI-PROJECT-18540007
[Journal Article] Abelian surfaces in projective 4-folds2006
- Author(s)
  梶原健
- Journal Title
  
  Archiv der Mathematik 86
  
  Pages: 43-49
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540004
[Journal Article] Abelian surfaces in projective toric 4-folds
- Author(s)
  T.Kajiwara
- Journal Title
  
  Arch.Math. (Basel) (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540005
[Journal Article] Abelian surfaces in projective toric 4-folds
- Author(s)
  Takeshi Kajiwara
- Journal Title
  
  Archiv der Mathematik (掲載予定)
- Data Source
  KAKENHI-PROJECT-16540005
[Journal Article] Abelian surfaces in projective toric 4-folds
- Author(s)
  T.Kajiwara
- Journal Title
  
  Arch.Math (Basel) 掲載予定
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540005
[Journal Article] Logarithmic abelian varieties, Part III : Logarithmic elliptic curves and modular curves
- Author(s)
  Takeshi Kajiwara, Kazuya Kato, and Chikara Nakayama
- Journal Title
  
  Nagoya Mathematical Journal
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540032
[Presentation] 付値環に関するある有限性について2010
- Author(s)
  梶原健
- Organizer
  研究集会「トロピカル幾何と計算代数」
- Place of Presentation
  神戸大学理学部
- Year and Date
  2010-01-04
- Data Source
  KAKENHI-PROJECT-19340001
[Presentation] Logarithmic abelian varieties2009
- Author(s)
  梶原健
- Organizer
  Hodge 理論と代数幾何学
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-06-30
- Data Source
  KAKENHI-PROJECT-21540032
[Presentation] Logarithmic abelian varieties Hodge理論と代数幾何学2009
- Author(s)
  梶原健
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-06-30
- Data Source
  KAKENHI-PROJECT-21540032

1. ISHIDA Masanori (30124548)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
2. OGATA Shoetsu (90177113)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. HARA Nobuo (90298167)

# of Collaborated Projects: 6 results

# of Collaborated Products: 6 results
4. ITO Hiroyuki (60232469)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. YOSHIDA Ken-ichi (80240802)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. YUKIE Akihiko (20312548)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. HANAMURA Masaki (60189587)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. ASHIKAGA Tadashi (90125203)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. TSUCHIHASHI Hiroyasu (00146119)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. TAKAHASHI Tomokuni (50259793)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. SATO Hiroshi (20433310)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. MAEKAWA Takashi (70361863)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. NAKAGAWA Yasuhiro (90250662)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. ODA Tdao (60022555)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. NAKAMURA Tetsuo (90016147)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. WATANABE Kei-ichi (10087083)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 森田康夫 (20011653)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 佐藤篤 (30241516)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 志甫淳 (30292204)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 佐武一郎 (00133934)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KAJIWARA Takeshi 梶原 健

梶原 健 カジワラ タケシ

Research Projects

Research Products

Co-Researchers

対数アーベル多様体の幾何とモジュライ空間Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometry of log abelian varieties and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Log picard varieties and their applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of Picard varieties of degenerate varietiesvia log structuresPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

トロピカルトーリック多様体上の交点理論Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

一般ヤコビ多様体のコンパクト化とその幾何Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

一般ヤコビ多様体のコンパクト化とその幾何学Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

KAJIWARA Takeshi 梶原健

梶原健カジワラタケシ