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KAJIWARA Takeshi  梶原 健

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… Alternative Names

梶原 健  カジワラ タケシ

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Researcher Number 00250663
Other IDs
Affiliation (Current) 2022: 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 – 2021: 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
2008: Yokohama National University, 大学院・工学(系)研究科(研究院), 准教授
2008: 国立大学法人横浜国立大学, 大学院・工学研究院, 准教授
2007 – 2008: Yokohama National University, 大学院・工学研究院, 准教授
2006: Yokohama National University, Faculty of Enginieering, Associate Professor, 大学院工学研究院, 助教授
1999 – 2005: 東北大学, 大学院・理学研究科, 助手
2001: 東北大学, 大学院・病理学研究科, 助手
1995 – 1996: 東北大学, 大学院・理学研究科, 助手 Less
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 / 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 / コンパクト化 / 対数スキーム … More / アーベル曲面 / トロピカル多様体 / 代数的トーラス / トロピカル幾何学 / 交点理論 / 退化代数多様体 … 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
  • Research Projects

    (18 results)
  • Research Products

    (23 results)
  • Co-Researchers

    (20 People)
  •  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 2021 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] Logarithmic abelian varieties, Part VII: moduli2021

    • Author(s)
      T. Kajiwara, K. Kato, and C. Nakayama
    • Journal Title

      Yokohama Mathematical Journal

      Volume: 67

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03555
  • [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

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