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Takagi Hiromichi  高木 寛通

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… Alternative Names

TAKAGI Hiromichi  高木 寛通

高木 寛通  タカギ ヒロミチ

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Researcher Number 30322150
Other IDs
Affiliation (Current) 2025: 学習院大学, 理学部, 教授
Affiliation (based on the past Project Information) *help 2025: 学習院大学, 理学部, 教授
2018 – 2023: 学習院大学, 理学部, 教授
2016 – 2017: 東京大学, 大学院数理科学研究科, 准教授
2012 – 2015: 東京大学, 数理(科)学研究科(研究院), 准教授
2013: 東京大学, 大学院・数理科学研究科, 准教授 … More
2012 – 2013: 東京大学, 数理科学研究科, 准教授
2007 – 2011: University of Tokyo, Graduate School of Mathematical Sciences, Associated Professor
2010: 東京大学, 准教授
2007: 東大, 数理(科)学研究科(研究院), 助教授
2006: 東京大学, 大学院数理科学研究科, 助准教授
2005 – 2006: 東京大学, 大学院数理科学研究科, 助教授
2005 – 2006: 東京大学, 数理科学研究科, 助教授
2004 – 2006: 東京大学, 大学院・数理科学研究科, 助教授
2003: 京都大学, 数理解析研究所, 助手
2000 – 2001: 京都大学, 数理解析研究所, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Basic Section 11010:Algebra-related / Algebra
Except Principal Investigator
Algebra / Geometry / Algebra
Keywords
Principal Investigator
theta characteristic / Q-Fano 3-fold / 極小モデル理論 / 森理論 / Fano 3-fold / 慨del Pezzo 3-fold / Key variety / 端緒多様体 / 2-ray game / モジュライの有理性 … More / General elephant / 種数 / 代数多様体の定義方程式 / P2×P2ファイバー構造 / 素Q-Fano 3-fold / 射影幾何 / P^2×P^2 ファイブレーション / Q-Fano 多様体 / Projection / Sarkisov link / triple system / Jordan algebra / Sarkisov リンク / ミラー対称性 / 導来圏 / Calabi-Yau 3様体 / 直交線形切断 / Enriques-Fano 3-fold / Artin-Mumford二重立体 / ホモロジー的射影双対性 / 導来圏の半直交分解 / ホモロジー的射影双対 / Reye合同型Enriques曲面 / 非有理的多様体 / 一般型曲面 / 端射線の理論 / Fano多様体 / quartic double solid / Enriques surface / Reye congruence / Calabi-Yau variety / rationality of moduli / Fano variety / スピン曲線のモジュライ空間 / 群作用付き多様体 / 群作用付多様体 / 偶スピン曲線のモジュライ空間 / べき和多様体 / カラビヤウ多様体 / Q-ファノ多様体 / 端射線収縮射 / ファノ多様体 / Scorza quartic / Waring problem / del Pezo 3-fold / Q-Fano多様体 / mobile b-divisor / del Pezzo surfaces / log flips / minimal model program / フリップ・フロップ / Q-ファノー多様体 / 極小モデルプログラム / Grassmann多様体 / Q-Fano三様体 … More
Except Principal Investigator
K3曲面 / ファノ多様体 / canonical divisor / 随伴束 / 複素シンプレクティック多様体 / モジュライ空間 / Qコニック束 / 端末特異点 / 因子収縮射 / Enriques曲面 / モジュライ / 代数幾何学 / 端射線 / フロップ / フリップ / 導来圏 / 標準因子 / 極小モデル / Iitaka-Kodaira dimension / adioint line bundle / sectional geometric genus / sectional invariants / polarized variety / nef / 断面H-算術種数 / 第iΔ-種数 / 断面Betti数 / 断面Euler数 / 豊富な因子 / 飯高-小平次元 / 随伴直線束 / 断面幾何種数 / 断面不変量 / 偏極多様体 / minimal model theory / Fano variety / complex symplectic variety / flop / divisorial contraction / Terminal singularity / K3 surface / Q-conic bundle / Chow群 / Zariski分解 / Fano多様体 / 因子収縮写像 / general elephant予想 / 標準特異点 / b関数 / 対数的標準特異点 / 変形 / シンプレクテイック特異点 / ポアソン変形 / 乗数イデアル / 逆同伴 / del Pezzo曲面 / 極小モデル理論 / singular Hermitian metric / multiplier ideal sheaf / 交点理論 / 特異エルミート計算 / 乗数デイアル層 / 基本群 / 多重標準形式 / 順層 / Griffiths正 / Hodge計量 / 消滅定理 / 標準束 / 特異エルミート計量 / 乗数イデアル層 / Fano 3-folds / hyperquadrics / projective space / fiber space structure / birational morphism / complex symplectic / Q-ファノ多様体 / 複素トーラス / モディライ空間 / 大域剛性 / 完全可積分ハミルトン系 / 双有理写像 / 2次超曲面 / 有利曲線族 / 変形同値類 / 正則写像 / 高次元多様体 / 三次元ファノ多様体 / 二次超曲面 / 射影空間 / ファイバー構造 / 双有理射 / 複素シンプレクティック / ファイブレーション / 小平次元 / シンプレクティック / ラグランジアン / アーベル多様体 / 井草4次超曲面 / 保型形式 / Torelli型定理 / アーベル曲面 / Mathieu群 / ルート系 / Torelli定理 / アルゴリズム / 特異ファイバー / Qファノ多様体 / デュバル特異点 / Qデルペゾ束 / 端収縮射 / Du Val特異点 / 一般象予想 / 極小モデルプログラム / 特異点解消 / Du Val 特異点 / 反標準線形系 / フリップ収縮射 / Q コニック束 / Hilbertの第14問題 / Kummer曲面 / レベル階数双対性 / Hom概型 / Brill-Noether理論 / Hilbert概型 / 代数曲面 / Verlinde公式 / 高次元双有理幾何学 / 代数的ベクトル束 / エンリケス曲面 / ヒルベルト概型 / フェアリンデ公式 / quiver / ヒルベルトの第14問題 / トーリック多様体 / スタック / 代数的フアイバー空間 / difficulty / abundance / termination / 巨大因子 / 対数対 / 境界因子 / 標準環 / 混合ホッジ構造 / 半正値性定理 / カラビヤウ多様体 / 単純特異点 / 極小モデル・プログラム / 半直交分解 / 連接層 / 代数的ファイバー空間 / 代数多様体 Less
  • Research Projects

    (16 results)
  • Research Products

    (82 results)
  • Co-Researchers

    (45 People)
  •  Fano 3-fold の分類Principal Investigator

    • Principal Investigator
      高木 寛通
    • Project Period (FY)
      2025 – 2029
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Gakushuin University
  •  Classification of Q-Fano 3-foldsPrincipal Investigator

    • Principal Investigator
      Takagi Hiromichi
    • Project Period (FY)
      2016 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
      The University of Tokyo
  •  Study of Fano varietiesPrincipal Investigator

    • Principal Investigator
      Takagi Hiromichi
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  On constructing of a minimal model of fibred algebraic varieties whose Kodaira dimension is zero

    • Principal Investigator
      MATSUSHITA Daisuke
    • Project Period (FY)
      2011 – 2012
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Moduli theoretic study of Fano varieties and Enriques surfaces

    • Principal Investigator
      MUKAI Shigeru
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Various problems related to the classification in higher dimensional birational geometry

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Reserch of Fano varietiesPrincipal Investigator

    • Principal Investigator
      TAKAGI Hiromichi
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  ファノー多様体の分類Principal Investigator

    • Principal Investigator
      高木 寛通
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Research on canonical divisors of higher dimensional algebraic varietie

    • Principal Investigator
      KAWAMATA Yujiro
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^<th> problem of Hilbert

    • Principal Investigator
      MUKAI Shigeru
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Study on properties of polarirad varieties by their sectional invariants and its applications

    • Principal Investigator
      FUKUMA Yoshiaki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kochi University
  •  Various Problems on the Classification in Higher Dimensional Birational Geometry

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  極小モデル理論で得られめ多様体、特にQ-Fano多様体の研究Principal Investigator

    • Principal Investigator
      高木 寛通
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
      Kyoto University
  •  Multiplier ideal sheaves in complex geometry ; the foundation and its applications.

    • Principal Investigator
      TAKAYAMA Shigeharu
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
      Kyushu University
  •  代数多様体の双有理幾何の研究Principal Investigator

    • Principal Investigator
      高木 寛通
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kyoto University
  •  Complex symplectic manifolds and related topics

    • Principal Investigator
      MIYAOKA Yoichi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
      Kyoto University

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

  • [Journal Article] Mirror symmetry of Calabi-Yau manifolds fibered by (1,8) -polarized abelian surfaces2022

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      Communications in Number Theory and Physics

      Volume: 16 Issue: 2 Pages: 215-298

    • DOI

      10.4310/cntp.2022.v16.n2.a1

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05090, KAKENHI-PROJECT-18H03668
  • [Journal Article] Derived categories of Artin-;Mumford double solids2020

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 60 Pages: 107-177

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Journal Article] Mirror Symmetry and Projective Geometry of Fourier-Mukai Partners2020

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      Advanced Lectures in Mathematics

      Volume: 47

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Journal Article] K3 surfaces from configurations of six lines in P^2 and mirror symmetry I2020

    • Author(s)
      Shinobu Hosono, Bong H. Lian, Hiromichi Takagi, Shing-Tung Yau
    • Journal Title

      Communications in Number Theory and Physics

      Volume: 14

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Journal Article] K3 surfaces from configurations of six lines in P2 and mirror symmetry I2020

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      Communications in Number Theory and Physics

      Volume: 14 Issue: 4 Pages: 739-783

    • DOI

      10.4310/cntp.2020.v14.n4.a2

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05090, KAKENHI-PROJECT-18H03668
  • [Journal Article] The rationality of the moduli space of one-pointed ineffective spin hyperelliptic curves via an almost del Pezzo threefold2018

    • Author(s)
      Takagi, Hiromichi; Zucconi, Francesco
    • Journal Title

      Nagoya Math. J.

      Volume: 232 Pages: 121-150

    • DOI

      10.1017/nmj.2017.23

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Journal Article] Movable vs monodromy nilpotent cones of Calabi-Yau manifolds2018

    • Author(s)
      Hosono, Shinobu; Takagi, Hiromichi
    • Journal Title

      SIGMA Symmetry Integrability Geom. Methods Appl.

      Volume: 14 Pages: 039-37

    • DOI

      10.3842/sigma.2018.039

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05090, KAKENHI-PROJECT-16K05105, KAKENHI-PROJECT-18H03668
  • [Journal Article] Towards homological projective duality for S2P3 and S2P42017

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      Advances in Mathematics

      Volume: 317 Pages: 371-409

    • DOI

      10.1016/j.aim.2017.06.039

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05090, KAKENHI-PROJECT-16K05105, KAKENHI-PROJECT-17H06127, KAKENHI-PROJECT-25247005
  • [Journal Article] Mirror Symmetry and Projective Geometry of Fourier-Mukai Partners2016

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      Handbook for Mirror Symmetries of Calabi-Yau and Fano Manifolds

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Journal Article] Double Quintic Symmetroids, Reye Congruences, and Their Derived Equivalence2016

    • Author(s)
      S. Hosono, H. Takagi
    • Journal Title

      Journal of Differentail Geometry

      Volume: 104, (32016) Issue: 3 Pages: 443-497

    • DOI

      10.4310/jdg/1478138549

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-24740004, KAKENHI-PROJECT-16K05090, KAKENHI-PROJECT-16K05105, KAKENHI-PROJECT-25247005
  • [Journal Article] Double Quintic Symmetroids, Reye Congruences, and Their Derived Equivalence2016

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      Journal of Differential Geometry

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Journal Article] Double quintic symmetroids, Reye congruences, and their derived equivalence2015

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      J. Differential Geom.

      Volume: -

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Journal Article] Determinantal Quintics and Mirror Symmetry of Reye Congruences2014

    • Author(s)
      Shinobu Hosono, Hiromichi Takagi
    • Journal Title

      Commun. Math. Phys.

      Volume: 329 Issue: 3 Pages: 1171-1218

    • DOI

      10.1007/s00220-014-1971-7

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-22540041, KAKENHI-PROJECT-23340010, KAKENHI-PROJECT-24740004, KAKENHI-PROJECT-25247005, KAKENHI-PROJECT-24224001
  • [Journal Article] Mirror Symmetry and Projective Geometry of Reye Congruences I2014

    • Author(s)
      Shinobu Hosono, Hiromichi Takagi
    • Journal Title

      J. Alg. Geom.

      Volume: 23 Issue: 2 Pages: 279-312

    • DOI

      10.1090/s1056-3911-2013-00618-9

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-22540041, KAKENHI-PROJECT-23340010, KAKENHI-PROJECT-24740004, KAKENHI-PROJECT-25247005
  • [Journal Article] 2次超曲面の射影幾何学とカラビヤウ3様体2013

    • Author(s)
      高木寛通
    • Journal Title

      雑誌 数理科学

      Volume: 596

    • Data Source
      KAKENHI-PROJECT-24740004
  • [Journal Article] Geometries of lines and conics on the quintic del Pezzo threefold and its application to varieties of power sums2012

    • Author(s)
      Hiromichi Takagi and Francesco Zucconi
    • Journal Title

      Michigan Math. J

      Volume: 61 Pages: 19-62

    • Data Source
      KAKENHI-PROJECT-20740005
  • [Journal Article] Geometries of lines and conics on the quintic del Pezzo threefold and its application to varieties of power sums2012

    • Author(s)
      Hiromichi Takagi, Francesco Zucconi
    • Journal Title

      Michigan Math.J.

      Volume: 61 Pages: 19-62

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Journal Article] The moduli space of genus 4 spin curve is rational2012

    • Author(s)
      Hiromichi Takagi and Francesco Zucconi
    • Journal Title

      Advances in Mathematics

      Volume: 231

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Journal Article] Spin curves and Scorza quartics2011

    • Author(s)
      Hiromichi Takagi and Francesco Zucconi
    • Journal Title

      Math. Ann

      Volume: no.3 Pages: 623-645

    • Data Source
      KAKENHI-PROJECT-20740005
  • [Journal Article] Spin curves and Scorza quartics.2010

    • Author(s)
      H.Takagi, F.Zucconi
    • Journal Title

      Math.Ann.

      Volume: 349 Pages: 623-645

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Journal Article] Saturated mobile bdivisors on weak del Pezzo klt surfaces2007

    • Author(s)
      Alessio Corti, James McKernan and Hiromichi Takagi
    • Journal Title

      Oxford Lecture Ser. Math. Appl.

      Volume: 35 Pages: 111-120

    • Data Source
      KAKENHI-PROJECT-20740005
  • [Journal Article] Classification of primary Q-Fano threefolds with anti-canonical Du Val K3 surfaces, I2006

    • Author(s)
      H., Takagi
    • Journal Title

      J. Algebraic Geom 16

      Pages: 31-85

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Classification of primary Q-Fano threefolds with anti-canonical Du Val K3 surfaces. I.2006

    • Author(s)
      Takagi, Hiromichi
    • Journal Title

      J.Algebraic Geom. 15,no.1

      Pages: 31-85

    • Data Source
      KAKENHI-PROJECT-18740003
  • [Journal Article] Classification of primary Q-Fano threefolds with anti-canonical Du Val K3 surfaces, I2006

    • Author(s)
      高木寛通
    • Journal Title

      J. Algebraic Geom. 15

      Pages: 31-85

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Classification of primary Q-Fano threefolds with anti-canonical Du Val K3 surfaces. I2006

    • Author(s)
      Takagi H.
    • Journal Title

      J. Algebraic Geom. 15

      Pages: 31-85

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] Classification of primary Q-Fano threefolds with anti-canonical Du Val K3 surfaces. I2006

    • Author(s)
      Hiromichi Takagi
    • Journal Title

      J. Algebraic Geom. 15

      Pages: 31-85

    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] Classification of primary Q-Fano threefolds with anti-canonical Du Val K3 surfaces, I2006

    • Author(s)
      Hiromichi Takagi
    • Journal Title

      J.Algebraic Geom. 15

      Pages: 31-85

    • Data Source
      KAKENHI-PROJECT-15740008
  • [Journal Article] Classification of primary Q-Fano threefolds with anti-canonical Du Val K3 surfaces2006

    • Author(s)
      高木寛通
    • Journal Title

      J.Algebraic Geom. 15

      Pages: 31-85

    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Classification of primary Q-Fano threefolds with anti-canonical Du Val K3 surfaces, I2006

    • Author(s)
      高木 寛通
    • Journal Title

      J. Algebraic Geom. 15

      Pages: 31-85

    • Data Source
      KAKENHI-PROJECT-16340004
  • [Journal Article] Classification of primary Q-Fano threefolds with anti-canonical Du Val K3 surfaces I2006

    • Author(s)
      Takagi H.
    • Journal Title

      J. Algebraic Geom. 15

      Pages: 31-85

    • Data Source
      KAKENHI-PROJECT-15340026
  • [Journal Article] Geometries of lines and conics on the quintic del Pezzo threefold and its application to varieties of power sums

    • Author(s)
      H.Takagi, F.Zucconi
    • Journal Title

      Michigan Math.J

      Volume: (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Journal Article] Mirror symmetry and projective geometry of Reye congruences I

    • Author(s)
      Shinobu Hosono and Hiromichi Takagi
    • Journal Title

      Journal of Algebraic Geometry

    • Data Source
      KAKENHI-PROJECT-20740005
  • [Journal Article] Geometries of lines and conics on the quintic del Pezzo threefold and its application to varieties of power sums

    • Author(s)
      Hiromichi Takagi, Francesco Zucconi
    • Journal Title

      in Michigan Math.J. (to appear)

    • Data Source
      KAKENHI-PROJECT-20740005
  • [Journal Article] Spin curves and Scorza quartics

    • Author(s)
      Hiromichi Takagi, Francesco Zucconi
    • Journal Title

      Math.Ann. 349, no.3

      Pages: 623-645

    • Data Source
      KAKENHI-PROJECT-20740005
  • [Journal Article] The moduli space of genus 4 even spin curves is rational

    • Author(s)
      Hiromichi Takagi and Francesco Zucconi
    • Journal Title

      プレプリント (投稿中)

    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] On key varieties for prime Q-Fano threefolds of codimension 42021

    • Author(s)
      Hiromichi Takagi
    • Organizer
      Higher-dimensional algebraic varieties
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Presentation] Key varieties for prime Q-Fano threefolds of codimension 42021

    • Author(s)
      Hiromichi Takagi
    • Organizer
      Zoom Algebraic Geometry Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Presentation] On key varieties of prime Q-Fano 3-folds2019

    • Author(s)
      高木寛通
    • Organizer
      ファノ多様体及び関連する代数幾何学
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Presentation] Examples of key varieties of prime Q-Fano threefolds of codimension 42019

    • Author(s)
      高木寛通
    • Organizer
      Workshop on Calabi-Yau Varieties and Related Topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Presentation] On classification of prime Q-Fano 3-folds with only 1/2(1,1,1)-singularities and of genus less than 22018

    • Author(s)
      高木寛通
    • Organizer
      東大代数幾何セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Presentation] 3次元Q-Fano多様体の分類について2018

    • Author(s)
      高木寛通
    • Organizer
      京都大学談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Presentation] On key varieties of Q-Fano threefolds with only 1/2 (1,1,1)-singularities2017

    • Author(s)
      高木寛通
    • Organizer
      代数的層のモジュライの研究とその周辺
    • Place of Presentation
      京大数理研
    • Year and Date
      2017-02-01
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Presentation] On key varieties of Q-Fano threefolds with only 1/2 (1,1,1)-singularities2017

    • Author(s)
      高木寛通
    • Organizer
      代数的層のモジュライの研究とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2017-02-01
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Presentation] Q-Fano 3-fold with 1/2 (1,1,1)-singularities revisited2016

    • Author(s)
      高木寛通
    • Organizer
      都の西北代数幾何学シンポジウム, 2016年11月15日--18日
    • Place of Presentation
      早稲田大学
    • Year and Date
      2016-11-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Presentation] Q-Fano 3-fold with 1/2 (1,1,1)-singularities revisited2016

    • Author(s)
      高木寛通
    • Organizer
      都の西北代数幾何学シンポジウム
    • Place of Presentation
      早稲田大学
    • Year and Date
      2016-11-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05090
  • [Presentation] On classification of prime Q-Fano threefolds with only 1/2(1, 1, 1)-singularities of genus not greater than 12016

    • Author(s)
      高木寛通
    • Organizer
      第13回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学大阪梅田キャンパス
    • Year and Date
      2016-03-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Presentation] 1/2(1,1,1)特異点しか持たない種数1以下のprime Q-Fano 3-foldの分類に向けて---森先生のFano多様体研究へのオマージュとして---2016

    • Author(s)
      高木寛通
    • Organizer
      京都大学理学部代数幾何セミナー
    • Place of Presentation
      京都大学理学部
    • Year and Date
      2016-03-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Presentation] Reye 合同の幾何学2013

    • Author(s)
      高木寛通
    • Organizer
      代数幾何学城崎シンポジウム
    • Place of Presentation
      城崎大会議館
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Presentation] 線形切断いろいろ2013

    • Author(s)
      高木寛通
    • Organizer
      研究集会「Fano 多様体の最近の進展」
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Presentation] Reye congruence, old and new2013

    • Author(s)
      高木寛通
    • Organizer
      代数曲面ワークショップ at 秋葉原
    • Place of Presentation
      首都大学東京 秋葉原サテライトキャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Presentation] Geometry of Calabi-Yau 3-folds of Reye congruences2013

    • Author(s)
      高木寛通
    • Organizer
      第7回駒場幾何学的表現論と量子可積分系のセミナー
    • Place of Presentation
      東京大学大学院数理科学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Presentation] Double quintic symmetroids, Reye congruences, and their derived equivalence2013

    • Author(s)
      高木寛通
    • Organizer
      GCOE research activity, Seminar weeks on Calabi-Yau manifolds, mirror symmetry, and derived categories
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740004
  • [Presentation] Mirror symmetry and projective geometry of Reye congruence2011

    • Author(s)
      高木寛通
    • Organizer
      MMP and extremal rays
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-06-23
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] Mirror symmetry and projective geometry of Reye congruence2011

    • Author(s)
      高木寛通
    • Organizer
      MMP and extremal rays (Mori60)
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2011-06-23
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] Mirror symmetry and projective geometry of Reye congruence2011

    • Author(s)
      高木寛通
    • Organizer
      名古屋大学代数幾何セミナー
    • Year and Date
      2011-07-04
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] Fano多様体の問題2010

    • Author(s)
      高木寛通
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] 種数4偶スピン曲線のモジュライの有理性2009

    • Author(s)
      高木寛通
    • Organizer
      射影多様体の幾何とその周辺2009
    • Place of Presentation
      高知大学理学部
    • Year and Date
      2009-11-22
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] The moduli space of genus 4 spin curves is rational2009

    • Author(s)
      高木寛通
    • Organizer
      Classification of Algebraic Varieties
    • Place of Presentation
      Schiermonnikoog, Netherland
    • Year and Date
      2009-05-15
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] Scorza quartics of trigonal spin curves and their varieties of power sums2008

    • Author(s)
      高木寛通
    • Organizer
      Algebraic geometry seminar
    • Place of Presentation
      Universitat Bayreuth
    • Year and Date
      2008-01-30
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Spin curves and Scorza quartics2008

    • Author(s)
      高木寛通
    • Organizer
      城崎代数幾何学シンポジウム
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] Q-Fano3-folds and varieties of power sums2008

    • Author(s)
      高木寛通
    • Organizer
      代数幾何学国際研究集会「COE-COW Tokyo」
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2008-02-19
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] 三角的spin曲線のScorza 4次超曲面とそのべき和多様体2008

    • Author(s)
      高木寛通
    • Organizer
      早稲田大学代数幾何セミナー
    • Year and Date
      2008-06-20
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] Spin curves and Scorza quartics2008

    • Author(s)
      高木寛通
    • Organizer
      Algebraic Geometry in East Asia
    • Place of Presentation
      KIAS
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] SPin curves and Scorza quartics2008

    • Author(s)
      高木寛通
    • Organizer
      Algebraic Geometry in East Asia
    • Place of Presentation
      KIAS, Korea
    • Year and Date
      2008-11-01
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] Q-Fano 3-folds and varieties of power sums2008

    • Author(s)
      高木寛通
    • Organizer
      代数幾何学国際研究集会「COECOWTokyo」
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2008-12-19
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] Scorza quartics of trigonal spin curves and their varieties of power Sums2008

    • Author(s)
      高木寛通
    • Organizer
      Algebraic geometry seminar
    • Place of Presentation
      Universitat Bayreuth(ドイツ)
    • Year and Date
      2008-01-30
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Scorza quartics of trigonal spin curves and their varieties of power sums2008

    • Author(s)
      H., Takagi
    • Organizer
      Algebraic geometry seminar
    • Place of Presentation
      Universitat Bayreuth (Germany)
    • Year and Date
      2008-01-30
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Scorza quartics of trigonal spin curves and their varieties of power sums2008

    • Author(s)
      高木寛通
    • Organizer
      Lehrstuhl Mathematik VIII
    • Place of Presentation
      Universit at Bayreuth
    • Year and Date
      2008-01-30
    • Data Source
      KAKENHI-PROJECT-20740005
  • [Presentation] On the variety of power sums of the Scorza quartics of trigonal curves2007

    • Author(s)
      高木寛通
    • Organizer
      Komplexe Algebraische Geometrie
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Year and Date
      2007-10-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] On the variety of power sums of the Scorza quartics of trigonal curves2007

    • Author(s)
      H., Takagi
    • Organizer
      Workshop Komplexe Algebraische Geometria
    • Place of Presentation
      Oberwolfach (Germany)
    • Year and Date
      2007-10-03
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] On the variety of power sums of the Scorza quartics of trigonal curves2007

    • Author(s)
      高木寛通
    • Organizer
      Komplexe Algebraische Geometrie
    • Place of Presentation
      Oberwolfach, Germany
    • Year and Date
      2007-10-03
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Towards a moduli theoretic characterization of a Q-Fano 3-fold of genus six2006

    • Author(s)
      H., Takagi
    • Organizer
      Algebraic geometry, Topology and around
    • Place of Presentation
      RIMS (Japan)
    • Year and Date
      2006-01-16
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Towards a moduli theoretic characterization of a Q-Fano 3-fold of genus six2006

    • Author(s)
      高木寛通
    • Organizer
      JAMI symposium
    • Place of Presentation
      Johns Hopkin University(米国)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Towards a moduli theoretic characterization of a Q-Fano 3-fold of genus six2006

    • Author(s)
      高木寛通
    • Organizer
      代数幾何と位相幾何の周辺
    • Place of Presentation
      京都大学
    • Year and Date
      2006-01-16
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Towards a moduli theoretic characterization of a Q-Fano 3-fold of genus six2006

    • Author(s)
      H., Takagi
    • Organizer
      JAMI symposium
    • Place of Presentation
      Johns Hopkin University (USA)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Towards a moduli theoretic characterization of a Q-Fano 3-fold of genus eight2005

    • Author(s)
      H., Takagi
    • Organizer
      JAMI seminar
    • Place of Presentation
      Johns Hopkins University (USA)
    • Year and Date
      2005-11-08
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Towards a moduli theoretic characterization of a Q-Fano 3-fold of genus eight2005

    • Author(s)
      高木寛通
    • Organizer
      JAMI seminar
    • Place of Presentation
      Johns Hopkins University(米国)
    • Year and Date
      2005-11-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Q-Fano 3-fold of genus 82004

    • Author(s)
      高木寛通
    • Organizer
      代数幾何講演会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2004-08-05
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] 4-fold log flips after Shokurov2004

    • Author(s)
      高木寛通
    • Organizer
      代数幾何と位相幾何の周辺
    • Place of Presentation
      早稲田大学
    • Year and Date
      2004-11-30
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Q-Fano 3-fold of genus 82004

    • Author(s)
      H., Takagi
    • Organizer
      Algebraic geometry symposium
    • Place of Presentation
      Saitama Univ. (Japan)
    • Year and Date
      2004-08-05
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] 4-fold log flips after Shoktirov2004

    • Author(s)
      H., Takagi
    • Organizer
      Algebraic geometry, Topology and around
    • Place of Presentation
      Waseda Univ. (Japan)
    • Year and Date
      2004-11-30
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340004
  • [Presentation] Enriques 曲面の導来圏と非可換代数

    • Author(s)
      高木寛通
    • Organizer
      (非) 可換代数とトポロジー
    • Place of Presentation
      信州大学理学部講義棟1 階第一講義室
    • Year and Date
      2015-02-13 – 2015-02-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-24740004
  • 1.  MORI Shigefumi (00093328)
    # of Collaborated Projects: 6 results
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  • 2.  NAKAYAMA Noboru (10189079)
    # of Collaborated Projects: 6 results
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  • 3.  MUKAI Shigeru (80115641)
    # of Collaborated Projects: 4 results
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  • 4.  KATSURA Toshiyuki (40108444)
    # of Collaborated Projects: 3 results
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  • 5.  MIYAOKA Yoichi (50101077)
    # of Collaborated Projects: 3 results
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  • 6.  IDE Manabu (90367582)
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  • 10.  KAWAMATA Yujiro (90126037)
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  • 16.  KURANO Kazuhiko (90205188)
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  • 18.  TAKEUCHI Kiyohiko (30236418)
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  • 19.  NAMIKAWA Yoshinori (80228080)
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  • 20.  FUJINO Osamu (60324711)
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  • 22.  HAYAKAWA Takayuki (20198823)
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  • 23.  SUMIHIRO Hideyasu (60068129)
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  • 27.  TAKAYAMA Shigeharu (20284333)
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  • 28.  HIRACHI Kengo (60218790)
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  • 37.  伊原 康隆 (70011484)
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  • 38.  齊藤 恭司 (20012445)
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  • 42.  MATSUKI Kenji
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  • 43.  PROKHOROV Yuri
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  • 44.  細野 忍
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    # of Collaborated Products: 3 results
  • 45.  小野 薫
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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