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Kawamata Yujiro  川又 雄二郎

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KAWAMATA Yujiro  川又 雄二郎

川又 雄次郎  カワマタ ユウジロウ

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Researcher Number 90126037
Other IDs
External Links
Affiliation (Current) 2025: 東京大学, 大学院数理科学研究科, 特別教授
Affiliation (based on the past Project Information) *help 2019 – 2025: 東京大学, 大学院数理科学研究科, 特別教授
2019: 東京大学, 大学院数理科学研究科, 教授
2018: 東京大学, 大学院数理科学研究科, 名誉教授
2016 – 2017: 東京大学, 大学院数理科学研究科, 教授
2011 – 2015: 東京大学, 数理(科)学研究科(研究院), 教授 … More
2010: 東京大学, 大学院・数理科学研究科, 教授
2007 – 2008: The University of Tokyo, 大学院・数理科学研究科, 教授
2005 – 2006: 東京大学, 大学院数理科学研究科, 教授
1992 – 2005: 東京大学, 大学院・数理科学研究科, 教授
1997: 東京大学, 大学院数理科学研究科, 教授
1994: 東京大学, 大学院数理科学研究科, 教授
1992: Univ.of Tokyo,Dept.of Math.Sciences, 大学院数理科学研究科, 教授
1992: 東京大学, 数理, 教授
1990 – 1991: University of Tokyo, Faculty of Science, Professor, 理学部, 教授
1987 – 1989: University of Tokyo, Dept. of Mathematics, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / 代数学・幾何学 / Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
代数学・幾何学 / Algebra / Algebra / 解析学 / Medium-sized Section 11:Algebra, geometry, and related fields / Geometry
Keywords
Principal Investigator
代数多様体 / 極小モデル / 導来圏 / 標準因子 / フロップ / トーリック多様体 / フリップ / 半直交分解 / 連接層 / 双有理幾何学 … More / 消滅定理 / 藤田予想 / 小平次元 / 非可換変形 / 半正値性定理 / カラビヤウ多様体 / 極小モデル理論 / flip / algebraic variety / 標準特異点 / 固定点自由化定理 / minimal model / 基本群 / 対数的標準因子 / 例外対象 / 単純組 / アバンダンス予想 / スタック / 混合ホッジ構造 / 末端特異点 / コホモロジー / 因子収縮写像 / 双有理変換 / 3次元多様体 / 対数構造 / 半安定退化 / pretilting / Q-Gorenstein変形 / 代数曲面 / コンパクト複素多様体 / 変形理論 / クレパント特異点解消 / 導来マッカイ対応 / 非可換代数多様体 / Hochschildコホモロジー / 非可換環 / 連接層の導来圏 / 多元非可換変形 / マッカイ対応 / 単射性定理 / 偏屈連接層 / 壁超え / 安定性条件 / 障害 / 普遍族 / A無限大構造 / 相対的例外対象列 / 有理曲線 / 重みつき射影空間 / 単純列 / flop / stack / toric variety / birational / derived category / D同値 / K同値 / 双有理同値 / グラスマン多様体 / 双有理 / vanishing theorem / log canonical divisor / Fujita conjecture / semipositivity theorem / minimal variet / non-vanishing theorem / 線型系 / 非消滅予想 / KLT / 可逆層 / ホッジ構造 / オービフォルド / 層 / 特異点 / モジュライ / 極小多様体 / 非消滅定理 / plurigenus / deformation / canonical singularity / multiplier ideal / logarithmic form / Kodaira dimension / pluricanonical form / alsebraic variety / カラビ・ヤウ多様体 / 半正値性 / ホッジ理論 / 多重種数 / 変形族 / 乗数イデアル層 / 対数的多重標準形式 / 多重標準形式 / Mirror synmetriy / Fujita conjectures / cones / intersection numbers / divisors / numerical geometry / higher dimensional algebraic varieties / Calabi-Yau / 安定曲線 / 有理特異点 / 固定点 / 因子 / 射影多様体 / 可動因子 / 豊富因子の錘体 / 数値的同値 / ミラー対称性 / カラビ・ヤウ / 対数的標準特異点 / Galois representation / Hecke character / log rithmic structure / zeta function / semistable reduction / number theory / algebraic varieties / 局所定数 / 形式群 / 岩沢理論 / P進Hodge理論 / ゼ-タ関数 / 数論的代数幾何 / ガロア表現 / ヘッケ指標 / ゼータ関数 / 整数論 / Index / Monodromy group / GaIois group / モノドロミ-表現 / 組み糸群 / 代表曲面 / リ-マン面 / 代数曲線 / 表現 / インデックス / モノドロミ-群 / ガロア群 / 分類理論 / 半豊富 / 数値的小平次元 / 正規交差多様体 / 正値性定理 / クレパント / ファノ / カラビヤウ / コックス環 / 森夢空間 / 相対的例外対象 / 商スタック / 重み付き射影空間 / 収縮写像 / 球面対象 / DK予想 / 代数的フアイバー空間 / difficulty / abundance / termination / 端射線 / 巨大因子 / 対数対 / 境界因子 / 標準環 / 単純特異点 / 極小モデル・プログラム / 代数的ファイバー空間 / 正規交差 / 標準モデル / 3次元 / 数論的スキーム / 正標数 … More
Except Principal Investigator
代数多様体 / ベクトル束 / 極小モデル / K3曲面 / ホッジ理論 / 力学系 / 多様体 / モジュライ空間 / ファノ多様体 / モジュライ / 自己同型群 / 超ケーラー多様体 / 対称空間 / 共形場理論 / Higgs束 / 葉層構造 / 微分同相群 / 保型形式 / シンプレクティック多様体 / 変形理論 / 複素力学系 / 力学次数 / 双有理変換群 / エントロピー / hyperkahler manifold / 2次超曲面 / 二次超曲面 / 導手公式 / アーベル曲面 / ピカール数 / K3 surfaces / Calabi-Yau多様体 / 半単純リー群 / ユニタリ表現 / 超幾何関数 / Hodge theory / 射影空間 / Vector Bundle / Algebraic Variety / 算術的代数多様体 / 特異点 / 群作用 / 複素シンプレクティック多様体 / 代数曲面 / 代数幾何学 / 変形 / 非線形完全積分可能系 / 代数解 / 可積分系 / パンルヴェ方程式 / エタール・コホモロジー / 安定還元定理 / 楕円曲線 / 基本群 / 無限変換群 / タイヒミューラー空間 / 離散群 / 写像類群 / 岩澤理論 / 類体論 / ホッジ構造 / 消滅定理 / 複素多様体 / 楕円曲面 / 一般型曲面 / McKay対応 / 双有理幾何学 / 幾何的ラングランズ対応 / 導来代数幾何学 / 連接層の導来圏 / Donaldson-Thomas不変量 / 捻じれ斉次座標環 / 代数多様体の実形式 / 自己写像力学次数 / 有限生成性 / 非可換代数幾何学 / 力学次数とエントロピー / Slow dynamics / 自己射のエントロピー / 実形式の非有限性 / 有理曲面 / カラビヤウ多様体 / 実形式 / 双有理代数幾何学 / 実形式と錐予想 / 数論力学系 / カラビヤウ多様体と錐予想 / 双有理自己同型群 / 代数力学系 / 単有理多様体 / 代数多様体の自己射 / 原始的自己写像 / 自己同型 / 有理多様体 / カラビ・ヤウ多様体 / 双有理変換 / ダイナミカル次数 / 双有理自己射 / 台数多様体 / 非有限生成性 / 自己射 / ワイルドな自己同型 / 代数多様体の自己同型群 / 複素代数多様体の実形式 / 離散的自己同型群の有限生成性 / エンリケス曲面 / 原始的自己同型 / Boundary value / Lie group / Unitary representation / Harmonic analysis / Homogeneous space / Symmetric space / 半単純対称空間 / 離散系列表現 / 主系列表現 / 境界値問題 / 代数解析 / 境界値 / リー群 / 調和解析 / 等質空間 / Sain manifold / Moduli space / Self-dual connections / Eixed point / Group action / Moment map / Symplectic manifold / 自己双対接続 / スカラー曲率 / スピン構造 / 不動点 / 慣性写像 / シンブレクティック多様体 / almost abelian group / tree group / entropy / Mordell-Weil group / Salem polynomial / birational automorphism / サーレム数 / 自己双有理型変換群 / リーチ格子 / 6次交代群 / 有限可解群 / 準アーベル群 / 非可換自由群 / モーデル・ヴェイユ群 / サーレム多項式 / 双有理型変換群 / Canonical degrees / Conjecture of Green-Griffiths-Lang / Surfaces of general type / Quadric hypersurfaces / Family of rational curves / Fano manifolds / ログ幾何学 / 商特異点 / モジュラー関数 / 3次曲面 / 導来圏 / 標準的高さ / 標準次数 / ラング予想 / 有理曲線族 / Kummer structure / Mordel-Weil lattice / auromorphism group / Fourier-Mukai partner / Picard number / deformation / k3 surface / シンプルティック同相群 / モノドロミー群 / ミラー族 / フーリエー向井パートナー / 1次元小変形 / 有限自己同型群 / モンスター / クンマー曲面 / フーリエ-向井対 / 有限単純群 / 小平問題 / フェルマー4次元曲面 / クンマー構造 / モーデルヴェイユ格子 / フーリエー向井対 / 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 / 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 / ファイバー構造 / 双有理射 / 複素シンプレクティック / Multiple Zeta Value / Selberg integral / Toric geometry / Hypergeometric functions / 代数的対応 / トーリック幾何学 / 多重ゼータ値 / セルバーグ積分 / トーリック幾何 / log geometry / conductor / BSD conjecture / abelian variety / Iwasawa theory / moduler forms / Harse zeta function / リーマン・ヒルベルト対応 / コンパクト化 / 対数的アーベル多様体 / 微分加群 / 代数体 / SL(2)-orbit / 退化 / log代数多様体 / Hodge構造 / Birch Swinnerton-Dyer予想 / log幾何 / 導手 / BSD予想 / アーベル多様体 / ハセ・ゼータ関数 / Artin invariant / Chem class / Cartier operator / formal Brauer group / modulic space / K3 purface / Hamming code / code / ハイト / 形式的ブラウアー群 / K^3曲面 / フロベニウス写像 / 高さ / 正標数 / チャウ群 / カルチェ作用素 / アルチン不変量 / チャーン類 / カルチエ作用素 / 形式的ブラウワー群 / ハミング符号 / 符号 / symmetries / Backlund Trqnsformation / Affine Weyl groups / Bilinear Forms / Garnier systems / Painleve equations / Nonliear CIS / Integrable system / ソリトンセルオートマトン / 離散化と超離散化 / KP方程式 / シューア関数 / 代数幾何学符号 / パンルヴェ階層 / 多変数特殊関数 / 初期値空間 / 組み合わせ論 / 完全積分可能素 / 双線形形式 / 非線完全積分可能系 / 対称性 / 双称形型式 / 非線型完全積可能系 / ベックルント変換 / アフィンワイル群 / 双線形型式 / ガルニエ系 / 非線型完全積分可能系 / Morsification / Calabi-Yau manifolds / Canonical curves / Pluri-canonical forms / Algebraic varieties / Logarithmic geometry / 加群拡大の微分作用素による自明化 / スペクトル・エータ写像 / 標準曲面のAlbanese写像 / 半安定層の分類空間 / Brill-Noether軌跡と偏極K3曲面 / 藤田の自由性予想 / 単純特異点のMckay対応 / Log幾何とHodge構造の退化 / abel多様体の普遍族 / 小平エネルギー / Reidのflip予想 / Clifford指数 / 藤田の自由予想 / 部分コンパクト化 / Hodge構造の分類空間 / calabi-yau多様体 / 多重標準形成 / Log 幾何学 / Hodge 理論 / Morse化問題 / Lalabi-Yau多様体 / 標準曲線 / K_3曲面 / 多重標準形式 / Log幾何学 / Hodge理論 / the Calabi invariant / manifolds / infinite transformation groups / dynamical systems / limit sets / diffeomorphism groups / finitely presented groups / 保測変換 / カラビ不変量 / 極限集合 / 有限表示群 / q-analog / arithmeticgeometry / pointed Riemannsurface / Calabi-Yaumanifold / conformalblock vector bundle / conformal field theory / moduli space / 共形場ブロック / 閉リーマン面 / KZ方程式 / ゲージ対称性 / 単純リイ代数 / リーマン面のモジュライ空間 / ベクトル束のモジュライ空間 / 代数曲線 / 弦理論 / q類似 / 数論幾何学 / 点付きリーマン面 / 共形場ブロックベクトル束 / symmetric spaces / seimsimple Lie groups / unitary representations / spherical functions / hypergeometric functions / invariant differential operators / completely integrable systems / 表現論 / 超幾何微分方程式 / 球函数 / 球関数 / 不変微分作用素 / 完全積分可能系 / Moduli / Stable Sheaves / Conformal Field Theory / Kahler Manifold / Classification of Algebraic Varieties / Algebraic Geometry / 放物束 / Hodge-理論 / 代数様体 / 算術的代数幾何学 / 可換環論 / モデュライ理論 / 代数多様体の変形 / モデュライ / 安定層 / Kahler多様体 / 代数多様体の分類 / Teichmueller space / vector bundle / Calabi-Yau variety / Shafarevich map / Fano variety / flip / Minimal model / フェルリンデ公式 / 極小モデル理論 / カラビ・ヤオ多様体 / シャファレビッチ写像 / フリップ / Singularity / Commutative Algebra / Period Mapping / Hodge Theory / Calabi-Yau Manifold / Hodge(ホッヂ)理論 / 3次元代数多様体 / 半群 / ア-ベル多様体 / 代数群 / CalabiーYou多様体 / 可換環 / 周期写像 / CalabiーYan多様体 / ホモロジー球面 / 微分同相 / 位相亜群 / 特異点の解消 / 高次円単数 / 複素シンブレクティック多様体 / Chern類 / Bogomolov-Yau-Simpson不等式 / ABC予想 / Chern 類 / _Bogomolov-Yau-Simpson不等式 / 安定Higgo束 / ABC 予想 / 曲線の次数評価 / 一般型代数曲面 / 作用付きベクトル束 / ヒッグズ束 / 高次元代数多様体 / 標準計量 / Boomolov-Gieseker不等式 / チャン類 / Jordanフィルトレーショ / 安定性 / 代数幾何 / 形式級数解 / P-線型微分方程式 / P-解析 / p-微分方程式 / p-解析 / ガロワ表現 / モジュラー曲線 / p進Hodge理論 / p進Hoclse理論 / 保型形式とl進表現 / l進コホモロジー / 局所体上の代数多様体 / tame symbol / 周期積分 / P進Hodge理論 / 局所と因子 / Hasse-Weil L関数 / ファイバー空間 / ラグランジアン / 位相的場の理論 / フレーアーホモロジー / 共型場の理論 / ゲージー場 / 玉河数 / モチ-フ / P進ホッジ理論 / l進層 / ゼ-タ関数 / フェルマ-多様体 / タイヒミュラ-群 / 組み紐群 / ガロア表現 / L関数 / モジュラ-形式 / インスタントン / リ-マン面 / チャ-ン類 / 変換群 / 退化理論 / (混合)Hodge構造 / (混合)Torelli問題 / (混合)周期写像 Less
  • Research Projects

    (50 results)
  • Research Products

    (135 results)
  • Co-Researchers

    (98 People)
  •  圏論的Donaldson-Thomas理論の開拓と周辺領域の相互発展

    • Principal Investigator
      戸田 幸伸
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      The University of Tokyo
  •  Birational geometry and derived categories toward non-commutative birational geometryPrincipal Investigator

    • Principal Investigator
      川又 雄二郎
    • Project Period (FY)
      2021 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      The University of Tokyo
  •  代数多様体の自己写像に関する多角的研究

    • Principal Investigator
      小木曽 啓示
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      The University of Tokyo
  •  Birational geometry of higher dimensional algebraic varietiesPrincipal Investigator

    • Principal Investigator
      Kawamata Yujiro
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Several aspects of birational automorphisms of algebraic varieties

    • Principal Investigator
      Oguiso Keiji
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
      Osaka University
  •  Study of canonical divisors on higher dimensional algebraic varietyPrincipal Investigator

    • Principal Investigator
      Kawamata Yujiro
    • Project Period (FY)
      2010 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Reviews, developments and applications of the minimal model theorem

    • Principal Investigator
      MIYAOKA Yoichi
    • Project Period (FY)
      2006 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Research on canonical divisors of higher dimensional algebraic varietiePrincipal Investigator

    • 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
  •  Study of gemetric properties and arithmetic properties of higher dimenional algebraic varieties.

    • Principal Investigator
      MIYAOKA Yoichi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Group theoretic and arithmetic aspects on K3 surfaces

    • Principal Investigator
      OGUISO Keiji
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Research on canonical divisors of higher dimensional algebraic varietiesPrincipal Investigator

    • Principal Investigator
      KAWAMUTA Yujiro
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Behavior of discrete invariants of algebraic varieties under deformation

    • Principal Investigator
      OGISO Keiji
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  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
  •  Research on log canonical divisors on higher dimensional algebraic varietiesPrincipal Investigator

    • Principal Investigator
      KAWAMATA Yujiro
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Iwasawa theory of Harse zeta functions

    • Principal Investigator
      KATO Kazuya
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
      The University of Tokyo
  •  Variation of Hodge structures and hypergeometric functions

    • Principal Investigator
      TERASOMA Tomohide
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Tokyo
  •  Studies on Algebraic Geometry and Coding Theory

    • Principal Investigator
      KATSURA Toshiyuki
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of Tokyo
  •  微分方程式のp-解析

    • Principal Investigator
      OKAMOTO Kazuo
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  Synthetic Research on nonlinear complete integrable systems and combinatorics

    • Principal Investigator
      OKAMOTO Kazuo
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      The University of Tokyo
  •  Studies on Hodge Theory and Hypergeometric FunctionsPrincipal Investigator

    • Principal Investigator
      KAWAMATA Yujiro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      THE UNIVERASITY OF TOKYO
  •  代数多様体の数論の研究

    • Principal Investigator
      斎藤 毅
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Algebraic Geometry and Hodge Theory

    • Principal Investigator
      USUI Sampei
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  代数多様体の数論の研究

    • Principal Investigator
      齋藤 毅
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Studies on moduli spaces from the view point of mathematical physics

    • Principal Investigator
      UENO Kenji
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Research of higher dinendional algebraic varaietiesPrincipal Investigator

    • Principal Investigator
      KAWAMATA Yujiro
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      the University of Tokyo
  •  STUDY ON INFINITE TRANSFORMATION GROUPS ON MANIFOLDS

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      THE UNIVERSITY OF TOKYO
  •  3次元極小モデルとCalabi‐Yau多様体の研究Principal Investigator

    • Principal Investigator
      川又 雄二郎
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      The University of Tokyo
  •  代数多様体の数論の研究

    • Principal Investigator
      斎藤 毅
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  高次元代数多様体の研究Principal Investigator

    • Principal Investigator
      川又 雄二郎
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  楕円ファイバー空間の構造

    • Principal Investigator
      中山 昇
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  高次元代数多様体の分類理論Principal Investigator

    • Principal Investigator
      川又 雄二郎
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Systems of differential equations invariant under an action of a group

    • Principal Investigator
      OSHIMA Toshio
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Graduate School of Mathematical Sciences, University of Tokyo
  •  2,3,4次元空間の幾何学における数理物理学的諸方法の統合

    • Principal Investigator
      深谷 賢治
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  多様体の無限変換群の研究

    • Principal Investigator
      坪井 俊
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  Higher Dimensional Algebraic Varieties

    • Principal Investigator
      MORI Shigefumi
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Institution
      Kyoto University
  •  Algebra and Geometry on Algebraic Varieties

    • Principal Investigator
      MARUYAMA Masaki
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      KYOTO UNIVERSITY
  •  Number theory of algebraic varietiesPrincipal Investigator

    • Principal Investigator
      KAWAMATA Yujiro, 加藤 和也
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Tokyo
  •  代数多様体の整数論の研究

    • Principal Investigator
      加藤 和也
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  多様体の微分同相群の研究

    • Principal Investigator
      松本 幸夫
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  代数幾何学とHodge理論

    • Principal Investigator
      USUI Sampei
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for Co-operative Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kochi University
  •  変換群と幾何学

    • Principal Investigator
      HATTORI Akio
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  不連続群および保型形式の整数論

    • Principal Investigator
      ODA Takayuki
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  Algebraic Theory of Manifolds

    • Principal Investigator
      MIYANISHI Masayoshi
    • Project Period (FY)
      1989 – 1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  Comparative Study of Various Fundamental Groups and Their Structure in Arithmetic and TopologyPrincipal Investigator

    • Principal Investigator
      KAWAMATA Yujiro
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Tokyo
  •  多様体上の位相亜群構造の研究

    • Principal Investigator
      坪井 俊
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  高次元多様体のminimal modelの研究Principal Investigator

    • Principal Investigator
      川又 雄二郎
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  変換群と幾何学

    • Principal Investigator
      服部 晶夫
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  代数多様体の整数論の研究

    • Principal Investigator
      加藤 和也
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  Harmonic Analysis on Symmetric Spaces

    • Principal Investigator
      OSHIMA Toshio
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      University of Tokyo, Faculty of Science, Department of Mathematics
  •  Transformation groups and geometry

    • Principal Investigator
      HATTORI Akio
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Tokyo, Faculty of Science, Department of Mathematics

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2002 Other

All Journal Article Presentation Book

  • [Book] 高次元代数多様体論2014

    • Author(s)
      川又雄二郎
    • Total Pages
      304
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Book] Derived Categories in Algebraic Geometry2013

    • Author(s)
      Yujiro Kawamata (editor)
    • Total Pages
      354
    • Publisher
      European Mathematical Society
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Book] Derived Categories in Algebraic Geometry2013

    • Author(s)
      Y. Kawamata, ed.
    • Total Pages
      354
    • Publisher
      European Mathematical Society
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Deformations over non-commutative base2024

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Comptes Rendus Acad. Sci. Ser. Math.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Journal Article] Non-commutative deformations of perverse coherent sheaves and rational curves2023

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      J. Algebraic Geom.

      Volume: 32 Issue: 1 Pages: 59-91

    • DOI

      10.1090/jag/805

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H02141, KAKENHI-PROJECT-23K20783
  • [Journal Article] Non-commutative deformations of perverse coherent sheaves and rational curves2023

    • Author(s)
      Kawamata, Yujiro
    • Journal Title

      J. Algebraic Geom.

      Volume: 32 Pages: 59-91

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20H00111
  • [Journal Article] Semi-orthogonal decomposition of a derived category of a 3-fold with an ordinary double point2022

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      LMS Lecture Notes Series

      Volume: 478 Pages: 183-215

    • DOI

      10.1017/9781009180849.007

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Journal Article] On the derived category of a weighted projective threefold2022

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Bollettino dell'Unione Matematica Italiana

      Volume: 15 Issue: 1-2 Pages: 245-252

    • DOI

      10.1007/s40574-021-00277-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H02141, KAKENHI-PROJECT-23K20783
  • [Journal Article] Semi-orthogonal decomposition of a derived category of a 3-fold with an ordinary double point2022

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      LMS Lecture Notes Series

      Volume: 478 Pages: 183-215

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Journal Article] On non-commutative formal deformations of coherent sheaves on an algebraic variety2021

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      EMS Surv. Math. Sci.

      Volume: 8 Issue: 1 Pages: 237-263

    • DOI

      10.4171/emss/49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H02141, KAKENHI-PROJECT-20H00111, KAKENHI-PROJECT-23K20783
  • [Journal Article] Non-commutative deformations of simple objects in a category of perverse coherent sheaves2020

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Selecta Math.

      Volume: 26 Issue: 3 Pages: 43-43

    • DOI

      10.1007/s00029-020-00570-w

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Journal Article] Fujita decomposition over higher dimensional base2019

    • Author(s)
      Fabrizio Catanese and Yujiro Kawamata
    • Journal Title

      European J. Math.

      Volume: 5-3 Issue: 3 Pages: 720-728

    • DOI

      10.1007/s40879-018-0287-0

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Journal Article] On multi-pointed non-commutative deformations and Calabi-Yau threefolds2018

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Compositio Math.

      Volume: 154 Issue: 9 Pages: 1815-1842

    • DOI

      10.1112/s0010437x18007248

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Journal Article] Derived McKay correspondence for GL (3, C )2018

    • Author(s)
      Kawamata Yujiro
    • Journal Title

      Advances in Mathematics

      Volume: 328 Pages: 1199-1216

    • DOI

      10.1016/j.aim.2018.01.022

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Journal Article] On multi-pointed non-commutative deformations and Calabi-Yau threefolds2018

    • Author(s)
      Kawamata Yujiro
    • Journal Title

      Compositio Math.

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Journal Article] Derived categories of toric varieties III2016

    • Author(s)
      Y. Kawamata
    • Journal Title

      European Journal of Mathematics

      Volume: 2 Issue: 1 Pages: 196-207

    • DOI

      10.1007/s40879-015-0065-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244002, KAKENHI-PROJECT-16H02141
  • [Journal Article] Variation of mixed Hodge structures and the positivity for algebraic fiber spaces2015

    • Author(s)
      Y. Kawamata
    • Journal Title

      Adv. St. Pure Math.

      Volume: 65 Pages: 27-58

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Mori dream spaces of Calabi-Yau type and the log canonicity of the Cox rings2015

    • Author(s)
      Y. Kawamata and S. Okawa
    • Journal Title

      J. reine angew. Math.

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Mori dream spaces of Calabi-Yau type and log canonicity of Cox rings2015

    • Author(s)
      Yujiro Kawamata and Shinnosuke Okawa
    • Journal Title

      Journal für die reine und angewandte Mathematik

      Volume: 701 Issue: 701 Pages: 195-203

    • DOI

      10.1515/crelle-2013-0029

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25800017, KAKENHI-PROJECT-22244002
  • [Journal Article] Variation of mixed Hodge structures and the positivity for algebraic fiber spaces2015

    • Author(s)
      Y. Kawamata
    • Journal Title

      Adv. St. Pure Math.

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Hodge theory on generalized normal crossing varieties2014

    • Author(s)
      Y. Kawamata
    • Journal Title

      Proc. Edinburgh Math. Soc.

      Volume: 57-1 Pages: 175-189

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Derived categories of toric varieties II2013

    • Author(s)
      Y. Kawamata
    • Journal Title

      Michigan Math. J.

      Volume: 62 Pages: 353-363

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] On the abundance theorem in the case of numerical Kodaira dimension zero2013

    • Author(s)
      Y. Kawamata
    • Journal Title

      Amer. J. Math.

      Volume: 135 Pages: 115-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Semipositivity theorem for reducible algebraic fiber spaces2011

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Pure App. Math. Quarterly

      Volume: 7 Pages: 1427-1447

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Remarks on the cone of divisors2011

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Classification of Algebraic Varieties

      Pages: 317-325

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Remarks on the cone of divisors2011

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      EMS Series of Congress Reports

      Volume: 3 Pages: 317-325

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Kodaira dimension and vanishing, a hommage to Eckart Viehweg (1948-2010)2010

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      La Gazette des mathematician, Societe mathematique de France

      Volume: 125 Pages: 119-123

    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Derived categories and minimal models2010

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Sugaku Expositions

      Volume: 23 Pages: 235-259

    • Data Source
      KAKENHI-PROJECT-22244002
  • [Journal Article] Finite generation of a canonical ring2009

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Current Development in Mathematics2007

      Pages: 43-76

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Finite generation of a canonical ring Current Development in Mathematics 20072009

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      International press

      Pages: 43-76

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Flops connect minimal models2008

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Publ.RIMS, Kyoto Univ. 44

      Pages: 419-423

    • NAID

      110006648218

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Flops connect minimal models. Publ.RIMS2008

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Kyoto Univ.

      Pages: 419-423

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Termination of (many) 4-dimensional log flips2007

    • Author(s)
      Alexeev, Hacon, Kawamata
    • Journal Title

      Invent. Math. 168

      Pages: 433-448

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Termination of (many) 4-dimensional log flips2007

    • Author(s)
      Valery Alexeev, Christopher Hacon, Yujiro Kawamata
    • Journal Title

      Invent.Math. 168

      Pages: 433-448

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] A product formula for volumes of varieties. An appendix to a paper by De-Qi Zhang2007

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Math. Ann. 339 No. 4

      Pages: 972-974

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] A product-formula for volumes of varieties2007

    • Author(s)
      Y. Kawamata
    • Journal Title

      Math. Ann. 339

      Pages: 972-974

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Derived categories of toric varieties2006

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Michigan Math.J. 54

      Pages: 517-535

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Derived equivalence for stratified Mukai flop on G (2,4)2006

    • Author(s)
      川又 雄二郎
    • Journal Title

      AMS/IP Studies in Advanced Mathematics 38

      Pages: 285-294

    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Derived equivalence for stratified Mukai flop on G (2, 4). In Mirror Symmetry V, Noriko Yui and James D. Lewis, eds2006

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      AMS/IP Studies in Advanced Mathematics 38

      Pages: 285-294

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] 代数幾何学と導来圏2006

    • Author(s)
      川又雄二郎
    • Journal Title

      数学 58

      Pages: 64-85

    • NAID

      10017554803

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] 代数幾何学と導来圏2006

    • Author(s)
      川又 雄二郎
    • Journal Title

      数学 58

      Pages: 64-85

    • NAID

      10017554803

    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Derived Categories of Toric Varieties2006

    • Author(s)
      川又 雄二郎
    • Journal Title

      Machigan Math.J 54

      Pages: 517-535

    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Log Crepant Birational Maps and Derived Categories2005

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      J.Math.Sci.Univ.Tokyo 12

      Pages: 211-231

    • NAID

      120005763629

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Log Crepant Birational Maps and Derived Categories2005

    • Author(s)
      Kawamata, Yujiro
    • Journal Title

      J.Math.Sci.Univ. Tokyo 12

      Pages: 211-231

    • NAID

      120005763629

    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Log smooth extension of a family of curves and semi-stable reduction2005

    • Author(s)
      Yujiro KAWAMATA
    • Journal Title

      J. Math. Sci. Univ. Tokyo 12

      Pages: 211-231

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340001
  • [Journal Article] Log crepant birational maps an derived categories.2005

    • Author(s)
      Y.Kawamata
    • Journal Title

      J.Math.Sci.Univ.Tokyo 12-no.2

      Pages: 211-231

    • NAID

      120005763629

    • Data Source
      KAKENHI-PROJECT-16340001
  • [Journal Article] Equivalence of derived categories of sheaves on smooth stacks2004

    • Author(s)
      川又雄二郎
    • Journal Title

      Amer.J.Math. 126

      Pages: 1057-1083

    • Data Source
      KAKENHI-PROJECT-14340003
  • [Journal Article] Equivalences of derived categories of sheaves on smooth stacks2004

    • Author(s)
      川又雄二郎
    • Journal Title

      Amer.J.Math. 126

      Pages: 1057-1083

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340003
  • [Journal Article] Equivalence of derived categories of sheaves on smooth stacks2004

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      American Journal of Mathematics 126

      Pages: 1057-1083

    • Data Source
      KAKENHI-PROJECT-16340001
  • [Journal Article] Equivalences of derived categories of sheaves on smooth stakes2004

    • Author(s)
      Yujiro KAWAMATA
    • Journal Title

      Amer. J. Math. 126

      Pages: 1057-1083

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340001
  • [Journal Article] Equivalences of derived categories of sheaves on smooth stacks2004

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Amer.J.Math. 126

      Pages: 1057-1083

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340003
  • [Journal Article] D-equivalence and K-equivalence2002

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      J.Diff.Geom. 61

      Pages: 147-171

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340003
  • [Journal Article] D-equivalence and K-equivalence2002

    • Author(s)
      川又雄二郎
    • Journal Title

      J.Diff.Geom. 61

      Pages: 147-171

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340003
  • [Journal Article] Derived categories and birational geometry Algebraic Geometry Seattle 2005, Proceedings of Symposia in Pure Mathematics 80. 2 (2009)

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      American Mathematical Society

      Pages: 655-665

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Derived equivalence for stratified Mukai flop on G(2,4)

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      Calabi-Yau Varieties and Mirror Symmetry (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340003
  • [Journal Article] Derived equivalence for stratified Mukai flop on G(2,4)

    • Author(s)
      Kawamata, Yujiro
    • Journal Title

      Calabi-Yau Varieties and Mirror Symmetry

    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Remarks on the cone of divisors

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      To appear in Classification of Algebraic Varieties, Sciermonnikoog

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Derived categories and birational geometry

    • Author(s)
      Kawamata, Yujiro
    • Journal Title

      Proc.AMS Summer Institute on Algebraic Geometry

    • Data Source
      KAKENHI-PROJECT-17204001
  • [Journal Article] Log Crepant Birational Maps and Derived Categories

    • Author(s)
      Yujiro Kawamata
    • Journal Title

      J.Math.Sci.Univ.Tokyo (To appear)

    • NAID

      120005763629

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340003
  • [Journal Article] Log Crepant Birational Maps and Derived Categories

    • Author(s)
      川又雄二郎
    • Journal Title

      J.Math.Sci.Univ.Tokyo (掲載予定)

    • NAID

      120005763629

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340003
  • [Journal Article] Derived equivalence for stratified Mukai flop on G(2,4)

    • Author(s)
      川又雄二郎
    • Journal Title

      Calabi-Yau Varieties and Mirror Symmetry (印刷中)

    • Data Source
      KAKENHI-PROJECT-14340003
  • [Journal Article] Derived equivalence for stratified Mukai flop on G(2,4)

    • Author(s)
      川又雄二郎
    • Journal Title

      Galabi-Yau Varieties and Mirror Symmetry (掲載予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340003
  • [Presentation] On derived McKay correspondence between non-commutative deformations of commutative and non-commutative crepant resolutions2024

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Higher Dimensional Algebraic Geometry, UC San Diego
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] On non-commutative deformations of complex manifolds2023

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Aspects of Algebraic Geometry, Cetraro
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] On non-commutative deformations of complex manifolds2023

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Conference in Algebraic and Arithmetic Geometry, Yanqi Lake
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] On deformations over non-commutative base2023

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Recent Developments in Algebraic Geometry, Arithmetic and Dynamics, NUS, Singapore
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] On non-commutative deformations of complex manifolds2023

    • Author(s)
      Yujiro Kawamata
    • Organizer
      A Journey through Algebraic and Complex Geometry, Buyeo
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] Deformations over non-commutative base2022

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Deformations of Geometric Structures in Current Development in Mathematics, Columbia Univ. and Harvard Univ.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] Deformations over non-commutative base2022

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Higher Dimensional Algebraic Geometry, Johns Hopkins Univ.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] Deformations over non-commutative base2022

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Deformations of Geometric Structures, Columbia Univ. and Harvard Univ.
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Deformations over non-commutative base2022

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Higher Dimensional Algebraic Geometry, Johns Hopkins Univ.
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Deformations over non-commutative base2022

    • Author(s)
      Yujiro Kawamata
    • Organizer
      MMP and Moduli, Simons Foundation
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] Deformations over non-commutative base2022

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Algebraic Geometry Seminar, Princeton Univ.
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] Deformations over non-commutative base2022

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Complex Algebraic Geometry and Related Topics, Gargnano del Garda
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] Semi-orthogonal decomposition and smoothing. (zoom lecture)2021

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Algebraic Geometry Seminar, Tsinghua University
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Semi-orthogonal decomposition and smoothing. (zoom lecture)2021

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Algebraic Geometry Seminar, Tsinghua University
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K20783
  • [Presentation] Non-commutative deformations of perverse coherent sheaves. (zoom lecture)2020

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Komplexe Analysis, Mathematisches Forshungsinstitut Oberwolfach
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Kunihiko Kadaira and complex manifolds. (zoom lecture)2020

    • Author(s)
      Yujiro Kawamata
    • Organizer
      CMSA, Harvard University
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Non-commutative deformations, perverse coherent sheaves and semi-orthogonal decompositions2019

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Birational geometry and moduli spaces, MSRI, Berkeley, USA
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Semi-orthogonal decomposition of a derived category of an algebraic variety2019

    • Author(s)
      Yujiro Kawamata
    • Organizer
      KAIST, Korea, intensive lectures, January 16-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Non-commutative deformations, perverse coherent sheaves and semi-orthogonal decompositions2019

    • Author(s)
      Yujiro Kawamata
    • Organizer
      The ninth congress of Romanian mathematicians. Galati, Romania
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Non-commutative deformations of coherent sheaves2019

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Workshop on birational geometry and moduli spaces. The University of Sydney, Australia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] On non-commutative deformations and applications to perverse coherent sheaves and semi-orthogonal decompositions2019

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Birational geometry and Fano varieties. Steklov Institute, Moscow, Russia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Non-commutative deformations of coherent sheaves2019

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Algebraic geometry in Auckland. The University of Auckland, New Zealand
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] On NC deformations2019

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Conference on algebraic and arithmetic geometry, Sanya, China
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Non-commutative deformations, perverse coherent sheaves and semi-orthogonal decompositions2019

    • Author(s)
      Yujiro Kawamata
    • Organizer
      International workshop on derived categories and related topics, Sun Yat-Sen University, Guangzhou, China
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Non-commutative deformations of simple collections2018

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Geometry at Large, Fuerteventura, Spain, December 10-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] NC deformations of simple objects in a category of perverse coherent sheaves2018

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Differential, Algebraic and Topological Methods in Complex Algebraic Geometry, Cetraro, Italy, September 6-15
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] On non-commutative deformations of simple objects and applications2018

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Algebraic Geometry in East Asia, Hanoi, Vietnam, October 23-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] On non-commutative deformations2018

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Homological Methods in Algebra and Geometry II, Dal-es-Salaam, Tanzania, July 9-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Birational geometry and derived categories2017

    • Author(s)
      Kawamata Yujiro
    • Organizer
      Conference on Geometry and Topology (JDG 2017). Harvard University, Cambridge, USA, April 28-May 2, 2017.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Birational geometry and derived categories2017

    • Author(s)
      Kawamata Yujiro
    • Organizer
      Higher Dimensional Algebraic Geometry. NCTS, Taiwan University, Taiwan, June 19-23, 2017.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] NC deformations of simple collections2017

    • Author(s)
      Kawamata Yujiro
    • Organizer
      Algebraic Geometry: Birational Classification, Derived Categories, and Moduli Spaces. Oberwolfach Mathematics Institute, Germany, September 25-29, 2017.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Birational geometry and derived categories2017

    • Author(s)
      Kawamata Yujiro
    • Organizer
      The Algebraic and Arithmetic Geometry Conference 2017. University of Science and Technology of China, Hefei, China, May 8-12, 2017.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Derived McKay correspondence for GL(3,C)2017

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Algebraic geometry conference in honor of JongHae Keum's 60th birthday
    • Place of Presentation
      Haeundae, Busan, Korea
    • Year and Date
      2017-03-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] NC deformations of simple collections2017

    • Author(s)
      Kawamata Yujiro
    • Organizer
      International Conference on Algebraic Geometry, Tsinghua University, Beijing, China, December 8-11, 2017.
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] On derived McKay correspondence for GL(3,C)2017

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Workshop on higher dimensional algebraic geometry, holomorphic dynamics and their interactions
    • Place of Presentation
      National University of Singapore
    • Year and Date
      2017-01-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Derived McKay correspondence for GL(3,C)2017

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Derived Category and Birational Geometry
    • Place of Presentation
      Osaka University
    • Year and Date
      2017-02-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Derived MaKay correspondence for finite abelian groups and derived toric MMP2016

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Non-commutative crepant resolutions, Ulrich modules and generalizations of the McKay correspondence
    • Place of Presentation
      Kyoto University
    • Year and Date
      2016-06-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Derived categories of toric varieties2016

    • Author(s)
      Yujiro Kawamata
    • Organizer
      SUMA 2016, Algebraic geometry session
    • Place of Presentation
      Pontificia Universidad Catolica de Valparaiso, Valparaiso, Chile.
    • Year and Date
      2016-12-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] On derived McKay correspondence for GL(3,C)2016

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Workshop on Algebraic Geometry
    • Place of Presentation
      Hanga Roa, Chile
    • Year and Date
      2016-12-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] Derived McKay correspondence for GL(3,C)2016

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Workshop on arithmetic and geometry
    • Place of Presentation
      Ctraro, Italy
    • Year and Date
      2016-08-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H02141
  • [Presentation] On some derived McKay correspondences2015

    • Author(s)
      Y. Kawamata
    • Organizer
      Categorical and Analytic Invariants in Algebraic Geometry II
    • Place of Presentation
      Kavli IPMU, University of Tokyo
    • Year and Date
      2015-11-16
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Remarks on non-commutative deformations of sheaves2015

    • Author(s)
      Y. Kawamata
    • Organizer
      Algebraic Geometry
    • Place of Presentation
      University of Bayreuth, Germany
    • Year and Date
      2015-03-12
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Multi-pointed NC deformations and CY 3folds2015

    • Author(s)
      Y. Kawamata
    • Organizer
      Categorical and Analytic Invariants in Algebraic Geometry I.
    • Place of Presentation
      Steklov Mathematical Institute, Moscow
    • Year and Date
      2015-09-14
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Derived McKay correspondences for finite abelian group quotients2015

    • Author(s)
      Y. Kawamata
    • Organizer
      Derived Categories and Birational Geometry
    • Place of Presentation
      University of Warwick, UK
    • Year and Date
      2015-06-01
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Derived categories of toric varieties2015

    • Author(s)
      Y. Kawamata
    • Organizer
      Algebraic Geometry and Applications to Physics and Dynamics
    • Place of Presentation
      Euler International Mathematical Institute, Saint Petersburg
    • Year and Date
      2015-05-25
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] The derived category of toric varieties2013

    • Author(s)
      Y. Kawamata
    • Organizer
      University of Milano, Algebraic Geometry Seminar
    • Place of Presentation
      University of Milano
    • Year and Date
      2013-10-01
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Minimal models and Fourier-Mukai partners2012

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Conference on complex geometry in memory of Hans Grauert
    • Place of Presentation
      Goettingen大学(ドイツ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Birational geometry and derived categories2012

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Interactions of birational geometry with other fields
    • Place of Presentation
      Durham大学(イギリス)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Derived categories from the viewpoint of the minimal model program2012

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Algebraic and Complex Geometry
    • Place of Presentation
      Hannover大学(ドイツ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] A remark on the abundance conjecture2011

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Birational Geometry Day
    • Place of Presentation
      University of Cambridge
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Triangulated Categories in Algebraic Geometry2011

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Triangulated categories and applications
    • Place of Presentation
      Banff International Research Station
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] On derived categories of toric varieties2011

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Algebraic Geometry in East Asia
    • Place of Presentation
      National Taiwan University
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Derived categories in algebraic geometry2011

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Algebraic Geometry Conference
    • Place of Presentation
      Chulalongkorn University
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Abundance theorem in the case of numerical Kodaira dimension O2010

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Conference on complex geometry, group actions and moduli spaces
    • Place of Presentation
      Hyderabad大学(インド)
    • Year and Date
      2010-08-14
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Categorical crepant resolutions of simple singularities2009

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Plenary Lecture, 1st PRIMA Congress, Univ
    • Place of Presentation
      New South Wales, Australia
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Variations of semipositivity theorems2009

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Invariants in Algebraic Geometry
    • Place of Presentation
      東京大学
    • Year and Date
      2009-11-09
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Minimal models and derived categories2009

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Noncommutative Algebraic Geometry and Related Topics
    • Place of Presentation
      Kyoto Univ
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Categorical crepant resolutions of simple singularities2009

    • Author(s)
      Yujiro Kawamata
    • Organizer
      1st PRIMA Congress(Plenary Lecture)
    • Place of Presentation
      Univ.New South Wales, Australia
    • Year and Date
      2009-07-07
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] 曲線の錐体と因子の錐体2008

    • Author(s)
      Yujiro Kawamata
    • Organizer
      談話会
    • Place of Presentation
      東京大学
    • Year and Date
      2008-11-28
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Minimal models and derived categories2008

    • Author(s)
      Yujiro Kawamata
    • Organizer
      60 Miles
    • Place of Presentation
      London Math.Society, England
    • Year and Date
      2008-07-17
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Minimal models and derived categories2008

    • Author(s)
      Yujiro Kawamata
    • Organizer
      60 Miles
    • Place of Presentation
      UCL and London Mathematical Society
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] 標準環有限生成定理、総合講演2008

    • Author(s)
      Yujiro Kawamata
    • Organizer
      日本数学会年会
    • Place of Presentation
      近畿大学
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Flops connect minimal models2007

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Beauville 60 Conference
    • Place of Presentation
      Institut Henri Poincare
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Recent progress on the minimal model program2007

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Current Developments in Mathematics 2007
    • Place of Presentation
      Harvard Univ
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Finite generation of canonical rings2007

    • Author(s)
      Y. Kawamata
    • Organizer
      Current Development in Mathematics
    • Place of Presentation
      Harvard Univ.
    • Year and Date
      2007-11-17
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Recent advances in the minimal model program2006

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Felix-Klein-Lectures
    • Place of Presentation
      University of Bonn, Germany
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Recent advances in the minimal model program2006

    • Author(s)
      Yujiro Kawamata
    • Organizer
      Global KMS Day, Korean Mathematical Society
    • Place of Presentation
      Seoul National University, Korea
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] Derived categories and birational geometry2005

    • Author(s)
      Yujiro Kawamata
    • Organizer
      AMS Summer Institute, University of Washington
    • Place of Presentation
      Seattle, USA
    • Data Source
      KAKENHI-PROJECT-17204001
  • [Presentation] On tilting generators

    • Author(s)
      Y. Kawamata
    • Organizer
      Classification of Algebraic Varieties and Related Topics
    • Place of Presentation
      Cetraro, Italy
    • Year and Date
      2013-09-08 – 2013-09-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Some remarks on tilting generators

    • Author(s)
      Y. Kawamata
    • Organizer
      Birational Geometry and GIT
    • Place of Presentation
      Wien
    • Year and Date
      2013-05-21 – 2013-05-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Derived category of a weighted projective space

    • Author(s)
      Y. Kawamata
    • Organizer
      Birational Geometry of Complex Algebraic Varieties dedicated to F. Campana
    • Place of Presentation
      Luminy, France
    • Year and Date
      2013-11-07 – 2013-11-11
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Toric MMP and SOD

    • Author(s)
      Y. Kawamata
    • Organizer
      Toric MMP and SOD
    • Place of Presentation
      University of Catania, Italy
    • Year and Date
      2013-09-16 – 2013-09-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
  • [Presentation] Derived categories in algebraic geometry

    • Author(s)
      Y. Kawamata
    • Organizer
      The 6th Pacific Rim Conference on Mathematics
    • Place of Presentation
      Sapporo
    • Year and Date
      2013-07-03 – 2013-07-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244002
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