Takagi Hiromichi 高木寛通

… 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

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

[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)

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3. MUKAI Shigeru (80115641)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
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# of Collaborated Projects: 3 results

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5. MIYAOKA Yoichi (50101077)

# of Collaborated Projects: 3 results

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# of Collaborated Projects: 3 results

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7. KAWAKITA Masayuki (10378961)

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8. SAITO SHUJI (50153804)

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9. OGUISO Keiji (40224133)

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10. KAWAMATA Yujiro (90126037)

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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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21. KAWANOUE Hiraku (50467445)

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22. HAYAKAWA Takayuki (20198823)

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23. SUMIHIRO Hideyasu (60068129)

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Takagi Hiromichi 高木 寛通

TAKAGI Hiromichi 高木 寛通

高木 寛通 タカギ ヒロミチ

Research Projects

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Co-Researchers

Fano 3-fold の分類Principal Investigator

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Classification of Q-Fano 3-foldsPrincipal Investigator

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Study of Fano varietiesPrincipal Investigator

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Reserch of Fano varietiesPrincipal Investigator

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ファノー多様体の分類Principal Investigator

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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

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Takagi Hiromichi 高木寛通

TAKAGI Hiromichi 高木寛通

高木寛通タカギヒロミチ