KAJIWARA Takeshi 梶原健

… Alternative Names

Researcher Number	00250663
Affiliation (Current)	2019: 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 – 2017: 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 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 / 退化多様体 / トーリック多様体 / アーベル多様体 / 半安定曲線 / 代数幾何 / ピカール多様体 / トロピカル幾何学 / 退化代数多様体 … More Except Principal Investigator トーリック多様体 / toric variety / 代数多様体 / アーベル多様体 / 凸多面体 / 正標数 / 代数曲面 / フロベニウス写像 / 特異点 / 扇 / モチーフ / 楕円曲線 / F-純閾値 / トロピカル幾何 / F-特異点 / K3曲面 / algebraic geometry / 代数幾何 / 密着閉包 / K3局面 / 補間 / convex polytope / Q-Gorenstein性 / 近似 / F-分裂次元 / F-pure threshold / P-フラクタル / ファノ多様体 / フロベニウス射 / Rees alebra / 双対化定理 / 孤立特異点 / Frobenius / Hilbert-Kunz重複度 / ベクトル束 / フィッティング / 交叉コホモロジー群 / fan / モティーフ / Prehomogeneous vector spaces / ケーラー計量 / 有理点 / 対数的標準閾値 / トーリック / Kaehler metric / tight closure / 循環商特異点 / トロピカル・トーリック多様体 / 乗数イデアル / F-singularity / Buchsbaum斉次代数 / 代数幾何学 / 代数局面 / abelian variety / 端末特異点 / 高さ / ブローアップ / F-正則性 / 擬斉次 / Toric Variety / algebraic variety / F-爆発 / abelian surface / 対数アーベル多様体 / 不定方程式 / Fano variety / 判定イデアル / 組の特異点 / 概均質ベクトル空間 / 可換環論 / F-純特異点の最小中心 / 強レフシェッツ定理 / Motif / multiplicity / 対数的標準閾特異点 / 半安定性 / CAE・CAD / F-跳躍数 / リース環 / 量子群 / 随伴束 / tropical geometry / 代数群 / 代数的サイクル / 可換環 / Algebraic cycles / CCI曲面 / 対数的代数幾何 / 重複度 / アーベル曲面 / 密度定理 / test ideal / multiplier ideal / elliptic curve / 代数多様本 / convex polytpe / 楕円曲面 / blowup / 形状モデリング Less

対数アーベル多様体の幾何とその応用Principal InvestigatorOngoing
- Principal Investigator
  
  梶原健
- 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 2015 2013 2010 2009 2008 2006 2004 Other

All Journal Article Presentation Book

[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
- Publisher
  日本評論社
- Data Source
  KAKENHI-PROJECT-15340001
[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] 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] 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
- 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
- Data Source
  KAKENHI-PROJECT-14740002
[Journal Article] Logarithmic abelian varieties, Part IV: proper models2015
- Author(s)
  Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 218
- Acknowledgement Compliant / Open Access / Peer Reviewed
- 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
- 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] 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
[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] 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
[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その応用Principal InvestigatorOngoing

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Log picard varieties and their applicationsPrincipal Investigator

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Geometry of Picard varieties of degenerate varietiesvia log structuresPrincipal Investigator

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

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

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

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KAJIWARA Takeshi 梶原健

梶原健カジワラタケシ