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Ishida Hirotaka  石田 弘隆

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ISHIDA Hirotaka  石田 弘隆

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Researcher Number 30435458
Other IDs
Affiliation (Current) 2025: 東北学院大学, 情報学部, 教授
Affiliation (based on the past Project Information) *help 2023: 東北学院大学, 情報学部, 教授
2018 – 2022: 東北学院大学, 教養学部, 教授
2016 – 2017: 宇部工業高等専門学校, 一般科, 教授
2015: 宇部工業高等専門学校, 一般科, 准教授
2011: 宇部工業高等専門学校, 一般科, 准教授 … More
2007 – 2009: Ube National College of Technology, 一般科, 講師
2008: Ube National College of Technology, 一般科, 准教授
2007: 宇部工業高専, 一般科, 講師 Less
Review Section/Research Field
Principal Investigator
Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra
Keywords
Principal Investigator
代数曲面 / モジュライ空間 / 代数曲線束 / 曲面特異点 / 複素微分方程式 / 分岐被覆 / 高次被覆 / 不変量 / ガロア被覆 / 曲線族 / 代数幾何 … More
Except Principal Investigator
… More モジュライ / 特異点 / モジュライ空間 / モノドロミー / 符号数 / 退化 / 連分数 / デデキンド和 / 複素曲面 / ファイバー空間 / リーマン面 / 局所化 / オービフォールド / 符号不足数 / 双有理変換 / orbifold / Todd class / Fourier-Dedekind sum / continued fraction / toric resolution / singularity / 安定曲線 / 商特異点 / トーリック写像 / 局所不変量 / 相互律 / 特異ファイバー / オービフォルド / トーリック幾何 / エータ不変量 / ファイバー芽 / モジュライ写像 / 安定還元 / 代数曲線 / Horikawa指数 / 曲線族 / 代数曲面 / 特異K3曲面 / 基本群 / Alexander多項式 / 3次被覆 / versal Galois被覆 / 引き戻し構成 / non-Galois 3次被覆 / Zariski pair / 相互法則 / Mordell-Weil群 / splitting curve / ザリスキ・ペア / Galois分岐被覆 Less
  • Research Projects

    (7 results)
  • Research Products

    (33 results)
  • Co-Researchers

    (8 People)
  •  Study of the geography of fibrations through branched coverings, differencial equations and moduli spacesPrincipal Investigator

    • Principal Investigator
      ISHIDA Hirotaka
    • Project Period (FY)
      2018 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Tohoku Gakuin University
  •  Studies of the geography of fibrations of algebraic curves from the theory of higher degree coverings and muduli spacesPrincipal Investigator

    • Principal Investigator
      Ishida Hirotaka
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Ube National College of Technology
  •  Application of orbifold signature to singularities and singular fibers

    • Principal Investigator
      Ashikaga Tadashi
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku Gakuin University
  •  Signature divisor on the moduli of curves, signature defect and its applications

    • Principal Investigator
      ASHIKAGA Tadshi
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku Gakuin University
  •  Branched covers and Zariski pairs

    • Principal Investigator
      TOKUNAGA Hiroo
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Studies on local invariants of degeneration of algebraic curves via moduli map and monodromy

    • Principal Investigator
      ASHIKAGA Tadashi
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku Gakuin University
  •  Coverings of algebraic surfaces and the formula for invariants of its Galois closuresPrincipal Investigator

    • Principal Investigator
      ISHIDA Hirotaka
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Ube National College of Technology

All 2019 2018 2016 2015 2012 2011 2010 2009 2008 2007 Other

All Journal Article Presentation

  • [Journal Article] A lower bound on the Euler-Poincaré characteristic of certain surfaces of general type with a linear pencil of hyperelliptic cureves2016

    • Author(s)
      Hirotaka Ishida
    • Journal Title

      Canadian Journal of Mathematics

      Volume: 68 Issue: 1 Pages: 67-87

    • DOI

      10.4153/cjm-2015-032-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04833
  • [Journal Article] The existence of hyper-elliptic fibrations with slope four and high relative Euler-Poincare character istic2010

    • Author(s)
      H. Ishida
    • Journal Title

      Proc. AMS

      Volume: 139 Pages: 1221-1235

    • Data Source
      KAKENHI-PROJECT-21540047
  • [Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009

    • Author(s)
      H. Ishida, H. Tokunaga
    • Journal Title

      Adv. Stud. Pure Math (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Journal Article] Triple covers of algebraic surfaces and a genera lization of Zariski's example2009

    • Author(s)
      H. Ishida and H. Tokunaga
    • Journal Title

      Adv. Stud. Pure Math.

      Volume: 56 Pages: 169-185

    • Data Source
      KAKENHI-PROJECT-21540047
  • [Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009

    • Author(s)
      Hirotaka Ishida, Hiro-o Tokunaga
    • Journal Title

      Advanced Studies in Pure Math. 56

      Pages: 169-185

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's example2009

    • Author(s)
      H. Ishida
    • Journal Title

      Advanced Studies in pure Mathematics (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Journal Article] 分岐被覆による特異曲線の構成2009

    • Author(s)
      石田弘隆
    • Journal Title

      平面代数曲線の双有理的研究

      Pages: 167-176

    • Data Source
      KAKENHI-PROJECT-19740022
  • [Journal Article] 楕円曲線族の構造をもつ一般型曲面の不変量に関する注意2007

    • Author(s)
      石田弘隆
    • Journal Title

      射影代数多様体の幾何とその周辺2007

      Pages: 49-58

    • Data Source
      KAKENHI-PROJECT-19740022
  • [Journal Article] Triple covers of algebraic surfaces and a a generalization of Zariski's example

    • Author(s)
      Hirotaka Ishida Hiroo Tokunaga
    • Journal Title

      Advanced studies in Pure Math. (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Journal Article] Triple covers of algebraic surfaces and a generalization of Zariski's Example, to appear in Adv

    • Author(s)
      Hirotaka Ishida and Hiro-o tokunaga
    • Journal Title

      Studies in Pure Math

    • Data Source
      KAKENHI-PROJECT-19540047
  • [Presentation] 射影直線束の巡回3重被覆の構造をもつ代数曲線束の地誌学2019

    • Author(s)
      石田弘隆
    • Organizer
      農工大数学セミナー2019
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03264
  • [Presentation] ある射影直線束の 3 重被覆で与えられる代数曲線束のスロープに関して2019

    • Author(s)
      石田弘隆
    • Organizer
      第17回代数曲線論シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03264
  • [Presentation] On certain triple coverings of projective line bundles2019

    • Author(s)
      石田弘隆
    • Organizer
      Algebraic surfaces and related topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03264
  • [Presentation] 射影直線束のガロア被覆の構造をもつ一般型曲面について2018

    • Author(s)
      石田弘隆
    • Organizer
      射影多様体の幾何とその周辺2018
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03264
  • [Presentation] ある射影直線束の3 重被覆の相対的オイラーポアンカレ標数について2016

    • Author(s)
      石田弘隆
    • Organizer
      代数曲線・曲面とその周辺
    • Place of Presentation
      大阪大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04833
  • [Presentation] Hyperelliptic fibrations with high slope2015

    • Author(s)
      Hirotaka Ishida
    • Organizer
      研究集会「特異点と多様体の幾何学」
    • Place of Presentation
      草津セミナーハウス
    • Year and Date
      2015-09-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04833
  • [Presentation] A note on invariants of hyperelliptic fibrations2012

    • Author(s)
      H. Ishida
    • Organizer
      The 4-th Branched coverings, Degenerations and Related Topics
    • Place of Presentation
      広島大学
    • Year and Date
      2012-03-07
    • Data Source
      KAKENHI-PROJECT-21540047
  • [Presentation] An approach to the geography problem of hyperelliptic fibrations2011

    • Author(s)
      H. Ishida
    • Organizer
      第9回代数曲線論シンポジウム
    • Place of Presentation
      首都大学東京
    • Year and Date
      2011-12-11
    • Data Source
      KAKENHI-PROJECT-21540047
  • [Presentation] 被覆を用いた有理曲面上の代数曲線の構成2011

    • Author(s)
      石田弘隆
    • Organizer
      代数幾何目白セミナー2011
    • Place of Presentation
      学習院大学
    • Year and Date
      2011-12-27
    • Data Source
      KAKENHI-PROJECT-21540047
  • [Presentation] Constructions of certain singular curves with geometric genus one2008

    • Author(s)
      石田弘隆
    • Organizer
      特異点と多様体の幾何
    • Place of Presentation
      草津セミナーハウス
    • Year and Date
      2008-09-13
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Presentation] 被覆による特異曲線の構成2008

    • Author(s)
      石田弘隆
    • Organizer
      津山代数幾何シンポジューム
    • Place of Presentation
      津山工業高等専門学校
    • Data Source
      KAKENHI-PROJECT-19540047
  • [Presentation] ある特異曲線の存在性について2008

    • Author(s)
      石田 弘隆
    • Organizer
      研究集会「被覆のつどい」(第2回)
    • Place of Presentation
      首都大学東京
    • Year and Date
      2008-01-13
    • Data Source
      KAKENHI-PROJECT-19540047
  • [Presentation] ある特異平面曲線の構成について2008

    • Author(s)
      石田弘隆
    • Organizer
      分岐被覆に関連する代数幾何とトポロジー(第2回)
    • Place of Presentation
      首都大学東京
    • Year and Date
      2008-01-12
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Presentation] Constructions of certaion singular curves with geometric genus one2008

    • Author(s)
      H. Ishida
    • Organizer
      特異点と多様体の幾何
    • Place of Presentation
      草津セミナーハウス
    • Year and Date
      2008-09-13
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Presentation] Constructions of certain singular curves with geometric genus one2008

    • Author(s)
      H. Ishida
    • Organizer
      特異点と多様体の幾何
    • Place of Presentation
      草津セミナーハウス
    • Data Source
      KAKENHI-PROJECT-19540047
  • [Presentation] 被覆による特異曲線の構成2008

    • Author(s)
      石田弘隆
    • Organizer
      津山代数幾何シンポジューム「代数幾何の研究と高専生による数学研究の出会い」
    • Place of Presentation
      津山工業高等専門学校
    • Year and Date
      2008-08-26
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Presentation] ある特異平面曲線の構成について2008

    • Author(s)
      石田弘隆
    • Organizer
      分岐被覆に関する代数幾何とトポロジー(第2回)
    • Place of Presentation
      首都大学東京
    • Year and Date
      2008-01-12
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Presentation] 被覆による特異曲線の構成2008

    • Author(s)
      石田弘隆
    • Organizer
      津山代数幾何シンポジューム
    • Place of Presentation
      津山工業高等専門学校
    • Year and Date
      2008-08-26
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Presentation] Triple covers of algebraic surfaces and a generalization of Zariski's example2007

    • Author(s)
      石田弘隆, 徳永浩雄(発表者)
    • Organizer
      4th Franco-Japanese symposium on Singularites
    • Place of Presentation
      富山市
    • Year and Date
      2007-08-30
    • Data Source
      KAKENHI-PROJECT-19540043
  • [Presentation] 超楕円曲線族の構造をもつ一般型曲面の不変量に関する注意2007

    • Author(s)
      石田弘隆
    • Organizer
      射影代数多様体の幾何とその周辺
    • Place of Presentation
      高知グリーン会館
    • Year and Date
      2007-11-24
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Presentation] 2重被覆によるスロープ4の超楕円曲線束の構成について2007

    • Author(s)
      石田弘隆
    • Organizer
      分岐被覆に関する代数幾何とトポロジー(第1回)
    • Place of Presentation
      東北学院大学
    • Year and Date
      2007-06-09
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Presentation] 超楕円曲線族の構造をもつ一般型曲面の不変量について2007

    • Author(s)
      石田弘隆
    • Organizer
      射影多様体の幾何とその周辺2007
    • Place of Presentation
      高知グリーン会館
    • Year and Date
      2007-11-24
    • Data Source
      KAKENHI-PROJECT-19740022
  • [Presentation] 2重被覆によるスロープ4の超楕円曲線束の構成について2007

    • Author(s)
      石田弘隆
    • Organizer
      分岐被覆に関連する代数幾何とトポロジー(第1回)
    • Place of Presentation
      東北学院大学工学部
    • Year and Date
      2007-06-09
    • Data Source
      KAKENHI-PROJECT-19740022
  • 1.  ASHIKAGA Tadashi (90125203)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 2.  KONNO Kazuhiro (10186869)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  YOSHIKAWA Ken-ichi (20242810)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  TOKUNAGA Hiroo (30211395)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 5.  OKA Mutsuo (40011697)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  SHIMADA Ichiro (10235616)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  SHIRANE Taketo (70615161)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  Matsumoto Yukio (20011637)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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