Takayama Shigeharu 高山茂晴

… Alternative Names

Researcher Number	20284333
Other IDs
Affiliation (Current)	2019: 東京大学, 大学院数理科学研究科, 教授
Affiliation (based on the past Project Information) *help	2016 – 2019: 東京大学, 大学院数理科学研究科, 教授 2012 – 2015: 東京大学, 数理(科)学研究科(研究院), 教授 2014: 東京大学, 数理科学研究科, 教授 2012: 東京大学, 大学院・数理科学研究科, 教授 2007 – 2011: The University of Tokyo, 大学院・数理科学研究科, 准教授 … More
Review Section/Research Field	Principal Investigator Geometry / Geometry Except Principal Investigator Basic analysis / Geometry / Algebra / Algebra / Basic analysis / Geometry
Keywords	Principal Investigator 随伴束 / モジュライ空間 / 乗数イデアル層 / 消滅定理 / 複素幾何学 / 相対標準束 / 基本群 / 変形空間 / 特異エルミート計算 / シャファレビッチ写像 … More Except Principal Investigator ベルグマン核 / ツイスター空間 / コニック束 / 複素多様体 / 有理曲線 / ファノ多様体 / 単有理性 / stability / Rankin-Selberg Method / Bergman核 / degeneration / ベクトル束 / lattices / ケーラー計量 / Takhtajan-Zograf metric / 複素幾何 / Truncation / Stability / モジュライ空間 / レフシェッツの超平面切断 / Zeta functions / 反自己双対接続 / アインシュタイン計量 / Eisenstein series / 放物型幾何 / ケーラー多様体 / 四元数多様体 / Rankin-selberg Method / 積分不変量 / 拡張定理 / toric variety / Gromov-Hausdorff / オートマトン / δ^^--Neumann問題 / Eisenstein senes / Kahler-Einstein metric / アレクサンドロフ空間 / 関数論 / Bergman計量 / dd'問題 / セゲー核 / アンビエント計量 / ﾚﾌｼｪｯﾂの超平面切断 / representation theory0 / Brauer group / Tian / lattice / quasitorus / 実関数論 / complex manifolds / 反標準束 / deformation / conic bundle / ユニック束 / 連接層 / ケーラー構造 / Bergman空間 / anticanonical bundle / 組みひも / 多重調和関数 / 変形理論 / 共形幾何 / rationally connectedness / Lie groups / シンプレティック構造 / 表現論 / rational curve / twistor operator / シンプレクティック構造 / 特異点 / Painleve方程式 / 2次元複素トーラス / vector bundle / ASD接続 / moduli spaces / Q-曲率 / 4-manifold / 数論 / 有理連結性 / twistor space / quaternion manifold / unirationality / Peak functions / 複素歳何 / CR幾何 / vector bundles / 乗数イデアル層 / quaternion manifolds / グロモフ・ハウスドルフ距離 / 消滅定理 / アーベル多様体 / extension theorem / zeta functions / 変形剛性 / 二木指標 / ソウル定理 / 対称空間 / d'問題 / ∞でのベルグマン核の挙動 / コホモロジーの消滅定理 / abelian variety / Kahler manifolds / Toric多様体 / 調和写像 / tangent bundle / 大域的有理型関数 / 特異点論 / Peak関数 / コホモロジー入射性定理 / 放物型幾何学 / 小林-Hitchin対応 / collapsing / periodic meromorphic function / Stein manifolds / twistor spaces / 接束 / 崩壊 / 漸近展開 / 四元数多様対 / 一般超幾何関数 / Hitchin-Kobayashi correspondence / ブラウアー群 / コホモロジー / グロモフ・ハウスドルフ収束 / symplactic structure / Kahler-Einstein計量 / symmetric space / エネルギー形式 / Szegoe核 / リーマン多様体 / Asymptotic expansion / Kahler structure / 調和関数 / 有限型領域 / canonical bundle / Fano variety / Szegoe kernel / 格子 / コモホロジー入射性定理 / 強擬凸領域 / ∂-Neumann問題 / harmonic function / 擬凸領域 / パンルベ方程式 / moduli space / Takhatajan-Zograf metric / 擬トーラス / 正則ベクトル束 / ASD connections / 標準束 / 漸近解析 / トーリック多様体 / リー群 / Levi平坦 / Singularity theory / 多変数複素解析 / truncation / 擬凸性 / ブラウァー群 / L^2正則関数 / energy form / Alexandrov spare / Levi flat / CR多様体 / 正則線束 / 等質有界領域 / ツイスター作用素 / Futaki choracter / 4次元多様体 / Peaking functions / 3次元多様体 / Taketajan-zograf metne / 多変数関数論 / 代数多様体 / holomorphic vector bundle / 放物型不変式論 / Toric多様性 / 値分布論 / 安定性 / 周期有理型関数 / 乗数層イデアル / 代数系 / 端点 / 正則直線束 / Eisenstein Series / Kahler-Einstein軽量 / グラフ多様体 / ∂^^--ノイマン問題 / Bergman kernel / トロイダル群 / ピーク関数 / domains of finite type / vanishing theorems / レヴィ平坦超曲面 / holomorphic line bundle / モデル領域 / 力学系 / graph manifold / スタイン多様体 / 複素解析 / 複数幾何 / レフシェッツの超平面切断研究分野 / Hardy空間 / 3-manifold / 解析的捩率 / Growth / Riemannian manfolds / anti-self-dual connection / harmonic mans Less

標準束の複素幾何学; 多様体の変形族と退化の研究Principal InvestigatorOngoing
- Principal Investigator
  
  高山茂晴
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Complex geometry of relative pluricanonical bundles and deformation spacesPrincipal Investigator
- Principal Investigator
  
  Takayama Shigeharu
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
New development of geometric complex analysis
- Principal Investigator
  
  HIRACHI Kengo
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
On families of rational curves and Fano varieties.
- Principal Investigator
  
  SATO Eiichi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Research on pluricanonical bundles and multiplier ideal sheaves for a degenerate family of complex manifoldsPrincipal Investigator
- Principal Investigator
  
  TAKAYAMA Shigeharu
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Research on rationally connected varieties
- Principal Investigator
  
  SATO Eiichi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Study of complex analysis from a point of view of parabolic geometry
- Principal Investigator
  
  HIRACHI Kengo
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Integrated Research of Analytic and Geometric Invariants of Complex Structure
- Principal Investigator
  
  NOGUCHI Junjiro
- Project Period (FY)
  2005 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
GLOBAL CONSTRUMONS OF MODULI SPACES
- Principal Investigator
  
  NAGATOMO Yasuyuki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Multiplier ideal sheaves in complex geometry ; the foundation and its applications.Principal Investigator
- 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
Function theory of several complex variables on psudoconvex complex manifolds with group structures
- Principal Investigator
  
  KAZAMA Hideaki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU UNIVERSITY
From Stability, Riemann-Roch to Non-Abelian Zeta Functions
- Principal Investigator
  
  WENG Lin
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERSITY
Many-sided researches on rationally connected projective varieties-Fano varieties are unirational ?
- Principal Investigator
  
  SATO Eiichi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
TOPOLOGY OF MODULI SPACES AND REPRESENTATION THEORY
- Principal Investigator
  
  NAGATOMO Yasuyuki
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Global complex analysis - around L^2 holomorphic functions
- Principal Investigator
  
  OHSAWA Takeo
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
Complex analysis of L holomorphic functions on pseudoconvex domains of finite type
- Principal Investigator
  
  KAMIMOTO Joe
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU UNIVERSITY
Theory of collapsing Riemannian manifolds and geometry of Alexandrov spaces
- Principal Investigator
  
  YAMAGUCHI Takao
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
  Kyushu University
複素代数多様体上の随伴束と基本群の関係についての研究Principal Investigator
- Principal Investigator
  
  高山茂晴
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
  Osaka University
Symplectic Structures and Geometry of Canonical Bundle
- Principal Investigator
  
  MABUCHI Toshiki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Geometry
- Research Institution
  Osaka University
弱一完備多様体の射影空間への大域的埋め込みについての研究Principal Investigator
- Principal Investigator
  
  高山茂晴
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka University
代数系及び数論に現れるGrowthの構造
- Principal Investigator
  
  小林滋
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Naruto University of Education

[Journal Article] Positivity of twisted relative pluricanonical bundles and their direct images.2018
- Author(s)
  Mihai Paun and Shigeharu Takayama
- Journal Title
  
  Journal of Algebraic Geometry
  
  Volume: 27 Pages: 211-272
- DOI
  10.1090/jag/702
- Int'l Joint Research / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04917, KAKENHI-PROJECT-15H02057, KAKENHI-PROJECT-16H03929
[Journal Article] Effective degree bounds for generalized Gauss map images2017
- Author(s)
  G. Heier and S. Takayama
- Journal Title
  
  Advanced Studies in Pure Math., Math. Soc. Japan
  
  Volume: 74
- Acknowledgement Compliant / Int'l Joint Research / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03929
[Journal Article] Singularities of Narasimhan-Simha type metrics on direct images of relative pluricanonical bundles2016
- Author(s)
  Shigeharu Takayama
- Journal Title
  
  Ann. Inst. Fourier
  
  Volume: 66
- DOI
  10.5802/aif.3025
- Acknowledgement Compliant / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340013
[Journal Article] On moderate degenerations of polarized Ricci-flat Kaehler manifolds2015
- Author(s)
  Shigeharu Takayama
- Journal Title
  
  J. Math. Sci. Univ. Tokyo
  
  Volume: 22
- Acknowledgement Compliant / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340013
[Journal Article] On moderate degenerations of polarized Ricci-flat Kaehler manifolds2015
- Author(s)
  S. Takayama
- Journal Title
  
  J. Math. Sci. Univ. Tokyo
  
  Volume: 22 Pages: 469-489
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244008
[Journal Article] A local ampleness criterion of torsion free sheaves2013
- Author(s)
  S. Takayama
- Journal Title
  
  Bull. Sci. math.
  
  Volume: 掲載確定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244008
[Journal Article] A local ampleness criterion of torsion free sheaves2013
- Author(s)
  Shigeharu Takayama
- Journal Title
  
  Bull. Sci. math.
  
  Volume: 137
- DOI
  10.1016/j.bulsci.2013.01.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340013
[Journal Article] 複素幾何学の諸問題2011
- Author(s)
  高山茂晴
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 第1731巻 Pages: 198-198
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] On volumes along subvarieties of line bundles with non-negative Kodaira-Iitaka dimension2011
- Author(s)
  G.Pacienza, S.Takayama
- Journal Title
  
  Michigan Math.J.
  
  Volume: 60 Pages: 35-49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244008
[Journal Article] On volumes along subvarieties of line bundles with non-negative Kodaira-Iitaka dimension2011
- Author(s)
  G.Pacienza, S.Takayama
- Journal Title
  
  Michigan Math.J.
  
  Volume: 60 Pages: 35-49
- DOI
  10.1307/mmj/1301586302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23340013
[Journal Article] On volumes along subvarieties of line bundles with nonnegative Kodaira-Iitaka dimension2011
- Author(s)
  Shigeharu Takayama
- Journal Title
  
  Michigan Math. J.
  
  Volume: 60(1) Pages: 35-49
- URL
  http://www.ams.org/mathscinet/
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540050
[Journal Article] Extension of twisted Hodge metrics for Kaehler morphisms2009
- Author(s)
  Ch. Mourougane, S. Takayama
- Journal Title
  
  J.Diff.Geom. 83
  
  Pages: 131-161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] Extension of twisted Hodge metrics for Kaehler morphisms2009
- Author(s)
  高山茂晴-Mourougane Ch.
- Journal Title
  
  J.Differential Geom. 83
  
  Pages: 131-161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] Extension of twisted Hodge metrics for Kaehler morphisms2009
- Author(s)
  Mourougane Ch., Takayama S.
- Journal Title
  
  J.Differential Geom. 83
  
  Pages: 131-161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] Extension of twisted Hodge metrics for Kaehler morphisms2009
- Author(s)
  Mourougane Ch. Takayama S.
- Journal Title
  
  J. Differential Geom.
  
  Volume: 83 Pages: 131-161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] Extension of twisted Hodge metrics for Kaehler morphisms2009
- Author(s)
  Mourougane Ch.-Takayama S.
- Journal Title
  
  J.Differential Geom. 83
  
  Pages: 131-161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] On uniruled degenerations of algebraic varieties with trivial canonical divisor2008
- Author(s)
  Takayama S.
- Journal Title
  
  Math.Z. 259
  
  Pages: 487-501
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] On the uniruledness of stable base loci2008
- Author(s)
  高山茂晴
- Journal Title
  
  J. Differential Geom. 78
  
  Pages: 521-541
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] Hodge metrics and the curvature of higher direct images2008
- Author(s)
  高山茂晴-Mourougane Ch.
- Journal Title
  
  Ann. Sci. Ecole Norm. Sup. 41
  
  Pages: 905-924
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] On uniruled degenerations of algebraic varieties with trivial canonical divisor2008
- Author(s)
  高山茂晴
- Journal Title
  
  Math. Z. 259
  
  Pages: 487-501
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] On uniruled degenerations of algebraic varieties with trivial canonical divisor2008
- Author(s)
  Takayama S.
- Journal Title
  
  Math. Z.
  
  Volume: 259 Pages: 487-501
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] On the uniruledness of stable base loci2008
- Author(s)
  Takayama S.
- Journal Title
  
  J. Differential Geom.
  
  Volume: 78 Pages: 521-541
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] Hodge metrics and the curvature of higher direct images2008
- Author(s)
  Mourougane Ch. and Takayama S.
- Journal Title
  
  Ann. Sci. Ecole Norm. Sup.
  
  Volume: 41 Pages: 905-924
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] On uniruled degenerations of algebraic varieties with trivial canonical divisor2008
- Author(s)
  Takayama Shigeharu
- Journal Title
  
  Math. Z. 259
  
  Pages: 487-501
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] On the uniruledness of stable base loci2008
- Author(s)
  Takayama Shigeharu
- Journal Title
  
  J. Differnrial Geom. 75
  
  Pages: 521-541
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] Hodge metrics and the curvature of higher direct images2008
- Author(s)
  Mourougane Ch.\-Takayama S.
- Journal Title
  
  Ann.Sci.Ecole Norm.Sup. 41
  
  Pages: 905-924
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] On the uniruledness of stable base loci2008
- Author(s)
  Takayama S.
- Journal Title
  
  J.Differential Geom. 78
  
  Pages: 521-541
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] Hodge metrics and the curvature of higher direct images2008
- Author(s)
  Takayama, Shigeharu and Mourougane Christophe
- Journal Title
  
  Ann. Scient. Ec. Norm. Sup. 41
  
  Pages: 903-922
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] On the invariance and the lower semi-continuity of plurigenera of algebraic varieties2007
- Author(s)
  高山茂晴
- Journal Title
  
  J.Algebraic Geom 16
  
  Pages: 1-18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] On the invariance and the lower semi-continUity of plurigenera of algebraic varieties2007
- Author(s)
  Shigeharu Takayama
- Journal Title
  
  J.Algebraic Geom 16
  
  Pages: 1-18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] On the invariance and the lower semi-continuity of plurigenera of plurigenerai of algebraic varieties2007
- Author(s)
  Takayama Shigeharu
- Journal Title
  
  J.Algebraic Geom. 16
  
  Pages: 1-18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540037
[Journal Article] Hodge metrics and positivity of direct images2007
- Author(s)
  Ch. Mourougane, S. Takayama
- Journal Title
  
  J.Reine Angew.Math. 606
  
  Pages: 167-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] Hodge metrics and positivity of direct images2007
- Author(s)
  Mourougane Ch., Takayama Shigeharu
- Journal Title
  
  J. Reine Angew. Math. 606
  
  Pages: 167-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540037
[Journal Article] Hodge metrics and positivity of direct images2007
- Author(s)
  高山茂晴-Mourougane Ch,
- Journal Title
  
  J.ReineAngew.Math. 606
  
  Pages: 167-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340014
[Journal Article] Hodge metrics and positivity of direct images2007
- Author(s)
  Mourougane Ch. and Takayama Shigeharu
- Journal Title
  
  J.Reine Angew. Math. 606
  
  Pages: 167-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540037
[Journal Article] On the invariance and the lower semi-continuity of plurigenera of algebraic varieties2007
- Author(s)
  Takayama Shigeharu
- Journal Title
  
  J. Algebraic Geom. 16
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540037
[Journal Article] On the invariance and the lower semi-continuity of plurigenera of algebraic varieties2007
- Author(s)
  S. Takayama
- Journal Title
  
  J.Algeb.Geom. 16
  
  Pages: 1-18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] Hodge metrics and positivity of direct images2007
- Author(s)
  Ch.Mourougane and S.Takayama
- Journal Title
  
  J.Reine Angew.Math 606
  
  Pages: 167-178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] On the invariance and the lower semi-continuity of plurigenera of algebraic varieties2006
- Author(s)
  Takayama S.
- Journal Title
  
  J. Algebraic Geom. 16
  
  Pages: 1-18
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340026
[Journal Article] Pluricanonical systems on algebraic varieties of general type2006
- Author(s)
  S. Takayama
- Journal Title
  
  Invent.Math. 165
  
  Pages: 551-587
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] On the invariance and the lower semi-continuity of plurigenera of algebraic varieties2006
- Author(s)
  S. TAKAYAMA
- Journal Title
  
  J. Alg. Geom. 16
  
  Pages: 1-18
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] Pluricanonical systems on algebraic varieties of general type2006
- Author(s)
  Takayama S.
- Journal Title
  
  Invent. Math. 165
  
  Pages: 551-587
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340026
[Journal Article] Pluricanonical systems on algebraic varieties of general type2006
- Author(s)
  S. TAKAYAMA
- Journal Title
  
  Invent. Math. 165
  
  Pages: 551-587
- Data Source
  KAKENHI-PROJECT-17104001
[Journal Article] On the existence of pluricanonical forms on varieties with infinite fundamental group2004
- Author(s)
  S, takayama
- Journal Title
  
  Amer J Math. 126・6
  
  Pages: 1221-1235
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] On the existence of pluricanonical forms on varieties with infinite fundamental group2004
- Author(s)
  Shigeharu Takayama
- Journal Title
  
  Amer.J.Math. 126
  
  Pages: 1221-1235
- Data Source
  KAKENHI-PROJECT-15340026
[Journal Article] On the existence of pluricanonical forms on varieties with infinite fundamental group2004
- Author(s)
  S.Takayama
- Journal Title
  
  Amer.J.Math. 126, no.6
  
  Pages: 1221-1235
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] On the existence of pluricanonical forms on varieties With infinite fundamental group2004
- Author(s)
  S.takayama
- Journal Title
  
  Amer J Math. 126・6
  
  Pages: 1221-1235
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340014
[Journal Article] On the existence of pluricanonical forms on varieties with infinite fundamental group2004
- Author(s)
  Takayama S.
- Journal Title
  
  Amer. J. Math. 126
  
  Pages: 1221-1235
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340026
[Journal Article] Seshadri constants and a criterion for bigness of pseudo-effective line bundles2004
- Author(s)
  S.Takayama
- Journal Title
  
  Complex analysis in several variables---Memorial Conference of Kiyoshi Oka's Centennial Birthday, Adv.Stud.Pure Math., Math.Soc., Japan, Tokyo 42
  
  Pages: 307-312
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] On the existence of pluricanonical forms on varieties with infinite fundamental group2004
- Author(s)
  S.takayama
- Journal Title
  
  Amer J Math. 126・6
  
  Pages: 1221-1235
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340014
[Journal Article] Seshadri constants and a criterion for bigness of pseudo-effective line bundles2003
- Author(s)
  S.Takayama
- Journal Title
  
  Math.Z. 244, no.1
  
  Pages: 179-199
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] Iitaka's fibrations via multiplier ideals2003
- Author(s)
  Takayama S.
- Journal Title
  
  Trans. Amer. Math. Soc. 355
  
  Pages: 37-47
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340026
[Journal Article] Iitaka's fibrations via multiplier ideals2003
- Author(s)
  S.Takayama
- Journal Title
  
  Trans.Amer.Math.Soc. 355, no.1
  
  Pages: 37-47
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] Seshadri constants and a criterion for bigness of pseudo-effective line bundles2003
- Author(s)
  S.takayama
- Journal Title
  
  Math.Z. 243・1
  
  Pages: 179-199
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340014
[Journal Article] Local simple connectedness of resolutions of log-terminal singularities2003
- Author(s)
  Takayama S.
- Journal Title
  
  Internat. J. Math. 14
  
  Pages: 825-836
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340026
[Journal Article] Local simple connectedness of resolutions of log-terminal singularities2003
- Author(s)
  S.Takayama
- Journal Title
  
  Internat.J.Math. 14, no.8
  
  Pages: 825-836
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] Seshadri constants and a criterion for bigness of pseudo-effective line bundles2003
- Author(s)
  Takayama S.
- Journal Title
  
  Math. Z. 243
  
  Pages: 179-199
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340026
[Journal Article] Iitaka's fibrations via multiplier ideals2003
- Author(s)
  Takayama S
- Journal Title
  
  Trans. Amer. Math. Soc. 355
  
  Pages: 37-47
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340026
[Journal Article] Iitaka's fibrations via multiplier ideals2003
- Author(s)
  S.takayama
- Journal Title
  
  Trans Amer.Math.Soc. 355・1
  
  Pages: 37-47
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340014
[Journal Article] A survey on varieties with large fundamental groups.2002
- Author(s)
  S.Takayama
- Journal Title
  
  Communications in arithmetic fundamental groups (Kyoto, 1999/2001). Surikaisekikenkyusho Kokyuroku No.1267
  
  Pages: 14-25
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340008
[Journal Article] Hodge metrics and positivity of direct images
- Author(s)
  Mourougane Ch., Takayama S.
- Journal Title
  
  Crelle's J. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15340026
[Journal Article] Hodge metrics and positivity of direct images
- Author(s)
  Mourougane Ch., Takayama S.
- Journal Title
  
  Crelle's J. (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15340026
[Presentation] Moderate degenerations of Calabi-Yau manifolds over higher dimensional bases2017
- Author(s)
  高山茂晴
- Organizer
  Analytic Methods in Algebraic Geometry Day
- Place of Presentation
  Northwestern Univ., シカゴ市（アメリカ合衆国）
- Year and Date
  2017-03-18
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-16H03929
[Presentation] Moderate degeneration of K\"ahler-Einstein manifolds2017
- Author(s)
  高山茂晴
- Organizer
  Mini-workshop on Complex Geometry
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-16H03929
[Presentation] ファイバー空間の相対標準束と充填問題2017
- Author(s)
  高山茂晴
- Organizer
  代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-16H03929
[Presentation] Moderate degeneration of K\"ahler-Einstein manifolds with negative Ricci curvature2017
- Author(s)
  高山茂晴
- Organizer
  第23回複素幾何シンポジウム
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-16H03929
[Presentation] 標準束の複素幾何学2016
- Author(s)
  高山茂晴
- Organizer
  日本数学会2016年度秋季総合分科会幾何学・トポロジー分科会合同特別講演
- Place of Presentation
  関西大学（大阪府, 吹田市）
- Year and Date
  2016-09-16
- Invited
- Data Source
  KAKENHI-PROJECT-16H03929
[Presentation] Positivity of the direct image of an adjoint bundle with multiplier ideal2016
- Author(s)
  高山茂晴
- Organizer
  第22回複素幾何シンポジウム
- Place of Presentation
  金沢県政記念しいのき迎賓館（石川県, 金沢市）
- Year and Date
  2016-11-02
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-16H03929
[Presentation] Degeneration of algebraic varieties and the metric completeness of parameter spaces2015
- Author(s)
  高山茂晴
- Organizer
  第21回複素幾何シンポジウム
- Place of Presentation
  金沢大学サテライトプラザ
- Year and Date
  2015-10-29
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-23340013
[Presentation] On moderate degenerations of polarized Ricci-flat Kaehler manifolds2015
- Author(s)
  高山茂晴
- Organizer
  Princeton-Tokyo workshop on Geometric Analysis
- Place of Presentation
  東京大学 (東京都, 目黒区)
- Year and Date
  2015-03-17
- Invited
- Data Source
  KAKENHI-PROJECT-23340013
[Presentation] On moderate degenerations of polarized Ricci-flat Kaehler manifolds2015
- Author(s)
  高山茂晴
- Organizer
  Princeton-Tokyo workshop on Geometric Analysis
- Place of Presentation
  東京大学
- Year and Date
  2015-03-17
- Invited
- Data Source
  KAKENHI-PROJECT-22244008
[Presentation] Degenerations of polarized Ricci-flat Kaehler manifolds2014
- Author(s)
  高山茂晴
- Organizer
  Complex analysis
- Place of Presentation
  Oberwolfach (ドイツ)
- Year and Date
  2014-08-27
- Invited
- Data Source
  KAKENHI-PROJECT-23340013
[Presentation] On moderate degenerations of polarized Ricci-flat Kaehler manifolds2014
- Author(s)
  高山茂晴
- Organizer
  多変数関数論葉山シンポジウム
- Place of Presentation
  湘南国際村センター
- Year and Date
  2014-07-20
- Invited
- Data Source
  KAKENHI-PROJECT-22244008
[Presentation] On moderate degenerations of polarized Ricci-flat Kaehler manifolds2014
- Author(s)
  高山茂晴
- Organizer
  多変数関数論葉山シンポジウム
- Place of Presentation
  湘南国際村センター (神奈川県, 葉山町)
- Year and Date
  2014-07-20
- Invited
- Data Source
  KAKENHI-PROJECT-23340013
[Presentation] Degenerations of polarized Ricci-flat Kaehler manifolds2014
- Author(s)
  高山茂晴
- Organizer
  Complex analysis
- Place of Presentation
  Oberwolfach (ドイツ)
- Year and Date
  2014-08-27
- Invited
- Data Source
  KAKENHI-PROJECT-22244008
[Presentation] An effective birationality of pluricanonical maps for a family of canonically polarized manifolds over a curve2013
- Author(s)
  高山茂晴
- 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-22244008
[Presentation] On complex geometry of pluricanonical and adjoint bundles2013
- Author(s)
  高山茂晴
- Organizer
  代数・解析・幾何セミナー
- Place of Presentation
  鹿児島大学
- Invited
- Data Source
  KAKENHI-PROJECT-22244008
[Presentation] An effective birationality of pluricanonical maps for a family of canonically polarized manifolds over a curve2013
- Author(s)
  S. Takayama
- Organizer
  Complex Geometry Conference
- Place of Presentation
  KIAS (韓国)
- Invited
- Data Source
  KAKENHI-PROJECT-22244008
[Presentation] Effective estimate on the number of deformation types of families of canonically polarized manifolds over curves2012
- Author(s)
  高山茂晴
- Organizer
  高次元代数多様体とベクトル束の代数幾何学
- Place of Presentation
  九州大学(招待講演)
- Year and Date
  2012-03-16
- Data Source
  KAKENHI-PROJECT-23340013
[Presentation] Effective estimate on the number of deformation types of families of canonically polarized manifolds over curves2012
- Author(s)
  高山茂晴
- Organizer
  高次元代数多様体とベクトル束の代数幾何学
- Place of Presentation
  九州大学(福岡)(招待講演)
- Year and Date
  2012-03-15
- Data Source
  KAKENHI-PROJECT-22244008
[Presentation] Effective estimate on the number of deformation types of families of canonically polarized manifolds over curves2012
- Author(s)
  高山茂晴
- Organizer
  東大複素解析幾何セミナー
- Place of Presentation
  東京大学数理科学研究科棟126号室
- Year and Date
  2012-04-09
- Data Source
  KAKENHI-PROJECT-22540050
[Presentation] On higher direct images of twisted sheaves of differential forms2011
- Author(s)
  高山茂晴
- Organizer
  The 6th Pacific RIM conference on complex geometry
- Place of Presentation
  韓国、慶州市(招待講演)
- Year and Date
  2011-08-10
- Data Source
  KAKENHI-PROJECT-23340013
[Presentation] Metric positivity of higher direct images of twisted sheaves of differential forms2011
- Author(s)
  高山茂晴
- Organizer
  RIMS共同研究「ポテンシャル論とファイバー空間」
- Place of Presentation
  京都大学(招待講演)
- Year and Date
  2011-09-07
- Data Source
  KAKENHI-PROJECT-23340013
[Presentation] Metric positivity of higher direct images of twisted sheaves of differential forms2011
- Author(s)
  高山茂晴
- Organizer
  ポテンシャル論とファイバー空間
- Place of Presentation
  京都大学(京都)(招待講演)
- Year and Date
  2011-09-05
- Data Source
  KAKENHI-PROJECT-22244008
[Presentation] Effective estimate on the number of deformation types of families of canonically polarized manifolds over curves2011
- Author(s)
  高山茂晴
- Organizer
  Algebraic Geometry in East Asia
- Place of Presentation
  台北(台湾)(招待講演)
- Year and Date
  2011-11-19
- Data Source
  KAKENHI-PROJECT-22244008
[Presentation] Effective estimate on the number of deformation types of families of canonically polarized manifolds over curves2011
- Author(s)
  高山茂晴
- Organizer
  Algebraic Geometry in East Asia
- Place of Presentation
  台湾、台北市(招待講演)
- Year and Date
  2011-11-19
- Data Source
  KAKENHI-PROJECT-23340013
[Presentation] On higher direct images of twisted sheaves of differential forms2011
- Author(s)
  高山茂晴
- Organizer
  6th Pacific RIM conference
- Place of Presentation
  慶州(韓国)(招待講演)
- Year and Date
  2011-08-10
- Data Source
  KAKENHI-PROJECT-22244008
[Presentation] Hodge metrics and the curvature of higher direct image sheaves2010
- Author(s)
  高山茂晴
- Organizer
  ICM2010 satellite conference "Complex Geometry, Group Actions and Moduli Spaces"
- Place of Presentation
  Hyderabad, India
- Year and Date
  2010-08-14
- Data Source
  KAKENHI-PROJECT-19340014
[Presentation] Hodge metrics and the curvature of higher direct image sheaves2010
- Author(s)
  高山茂晴
- Organizer
  ICM2010 satellite conference
- Place of Presentation
  Hyderabad (インド)
- Year and Date
  2010-08-14
- Data Source
  KAKENHI-PROJECT-22244008
[Presentation] 高次順像層のホッジ計量について2009
- Author(s)
  高山茂晴
- Organizer
  日本数学会函数論分科会
- Place of Presentation
  東京大学
- Year and Date
  2009-03-29
- Data Source
  KAKENHI-PROJECT-19340014
[Presentation] 高次順像層のホッジ計量について2009
- Author(s)
  高山茂晴
- Organizer
  日本数学会、函数論分科会
- Place of Presentation
  東大
- Year and Date
  2009-03-29
- Data Source
  KAKENHI-PROJECT-19340014
[Presentation] ホッジ計量の拡張について、Bergman核と代数幾何への応用2008
- Author(s)
  高山茂晴
- Place of Presentation
  京大数理研
- Year and Date
  2008-06-04
- Data Source
  KAKENHI-PROJECT-19340014
[Presentation] On the extension of twisted Hodge metrics2008
- Author(s)
  高山茂晴
- Organizer
  複素幾何学シンポジウム
- Place of Presentation
  長野県真田町
- Year and Date
  2008-10-23
- Data Source
  KAKENHI-PROJECT-19340014
[Presentation] 多重標準形式の拡張とその応用2008
- Author(s)
  高山茂晴
- Organizer
  代数学シンポジウム
- Place of Presentation
  盛岡市,岩手
- Year and Date
  2008-08-06
- Data Source
  KAKENHI-PROJECT-17104001
[Presentation] 多重標準形式の拡張とその応用2008
- Author(s)
  高山茂晴
- Organizer
  代数学シンポジウム
- Place of Presentation
  盛岡市
- Year and Date
  2008-08-06
- Data Source
  KAKENHI-PROJECT-19340014
[Presentation] On the extension of twisted Hodge metrics2008
- Author(s)
  高山茂晴
- Organizer
  複素幾何学シンポジウム
- Place of Presentation
  真田町,長野
- Year and Date
  2008-10-23
- Data Source
  KAKENHI-PROJECT-17104001
[Presentation] ホッジ計量の拡張について2008
- Author(s)
  高山茂晴
- Organizer
  Bergman核と代数幾何への応用
- Place of Presentation
  京都大学数理解析研究所,京都
- Year and Date
  2008-06-04
- Data Source
  KAKENHI-PROJECT-17104001
[Presentation] Hodge metrics and the curvature of higher direct images2007
- Author(s)
  高山茂晴
- Organizer
  Complex geometry in Osaka
- Place of Presentation
  阪大
- Year and Date
  2007-11-02
- Data Source
  KAKENHI-PROJECT-19340014
[Presentation] oundednedd of pluricanonical systems on algebraic varieties of general type2007
- Author(s)
  Takayama Shigeharu
- Organizer
  Algebraic and Arithmetic Structures of Moduli Spaces
- Place of Presentation
  北海道大学
- Year and Date
  2007-09-04
- Data Source
  KAKENHI-PROJECT-19540037
[Presentation] Boundednedd of pluricanonical systems on algebraic varieties of general type2007
- Author(s)
  Takayama Shigeharu
- Organizer
  Algebraic and Arithmetic Structures of Moduli Spaces
- Place of Presentation
  北海道大学、札幌
- Year and Date
  2007-09-04
- Data Source
  KAKENHI-PROJECT-17104001
[Presentation] Boundedness of pluricanonical systems on algebraic varieties of general type2007
- Author(s)
  高山茂晴
- Organizer
  Algebraic and Arithmetic Structures of Moduli Spaces
- Place of Presentation
  札幌、北大
- Year and Date
  2007-09-04
- Data Source
  KAKENHI-PROJECT-19340014
[Presentation] Boundednedd of pluricanonical systems on algebraic varieties of general type2007
- Author(s)
  高山茂晴
- Organizer
  Algebraic and Arithmetic Structures of Moduli Spaces
- Place of Presentation
  北大
- Year and Date
  2007-09-04
- Data Source
  KAKENHI-PROJECT-19340014
[Presentation] Hodge metrics and the curvature of higher direct images2007
- Author(s)
  Takayama Shigeharu
- Organizer
  Complex geometry in Osaka
- Place of Presentation
  大阪大学中之島センター、大阪
- Year and Date
  2007-11-02
- Data Source
  KAKENHI-PROJECT-17104001
[Presentation] Hodge metrics and the curvature of higher direct images2007
- Author(s)
  Takayama Shigeharu
- Organizer
  Complex geometry in Osaka
- Place of Presentation
  大阪大学
- Year and Date
  2007-11-02
- Data Source
  KAKENHI-PROJECT-19540037
[Presentation] Boundednedd of pluricanonical systems on algebraic varieties of general type2007
- Author(s)
  高山茂晴
- Organizer
  Algebraic Geometry and Commutative Algebra Tokyo 2007
- Place of Presentation
  東大
- Year and Date
  2007-12-12
- Data Source
  KAKENHI-PROJECT-19340014
[Presentation] Boundednedd of pluricanonical systems on algebraic varieties of general type2007
- Author(s)
  Takayama Shigeharu
- Organizer
  Algebraic Geometry and Commutative Algebra Tokyo 2007
- Place of Presentation
  東京大学数理科学研究科、東京
- Year and Date
  2007-12-12
- Data Source
  KAKENHI-PROJECT-17104001
[Presentation] A remark on degenerations of Ricci flat Kaehler manifolds2006
- Author(s)
  S. Takayama
- Organizer
  複素幾何シンポジウム
- Year and Date
  2006-10-26
- Data Source
  KAKENHI-PROJECT-17104001
[Presentation] On the uniruledness of stable base loci2006
- Author(s)
  S. Takayama
- Organizer
  代数幾何学シンポジウム
- Place of Presentation
  越後湯沢
- Year and Date
  2006-12-11
- Data Source
  KAKENHI-PROJECT-17104001
[Presentation] An effective birationality of pluricanonical maps for a family of canonically polarized manifolds over a curve
- Author(s)
  高山茂晴
- Organizer
  Complex Geometry Conference in honor of Professor Y.-T. Siu's 70th
- Place of Presentation
  KIAS, ソウル, 韓国
- Invited
- Data Source
  KAKENHI-PROJECT-23340013
[Presentation] An effective birationality of pluricanonical maps for a family of canonically polarized manifolds over a curve
- Author(s)
  高山茂晴
- 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-23340013
[Presentation] On complex geometry of pluricanonical and adjoint bundles
- Author(s)
  高山茂晴
- Organizer
  第８回代数・解析・幾何セミナー
- Place of Presentation
  鹿児島大学
- Invited
- Data Source
  KAKENHI-PROJECT-23340013

1. MABIUCHI Toshiki (10112278)

# of Collaborated Projects: 9 results

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2. HIRACHI KENGO (60218790)

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3. OHSAWA Takeo (30115802)

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4. MABUCHI Toshiki (80116102)

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5. FURUSHIMA Mikio (00165482)

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6. YOSHIKAWA Kenichi (20242810)

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7. TSUJI Hajime (30172000)

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8. YAMANOI Katsutoshi (40335295)

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9. TAKAGI Shunsuke (40380670)

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10. KAMIMOTO Joe (90301374)

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11. WENG Lin (60304002)

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12. ITOH Mitsuhiro (40015912)

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13. YAMADA Kotaro (10221657)

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Takayama Shigeharu 高山 茂晴

TAKAYAMA Shigeharu 高山 茂晴

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標準束の複素幾何学; 多様体の変形族と退化の研究Principal InvestigatorOngoing

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Complex geometry of relative pluricanonical bundles and deformation spacesPrincipal Investigator

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Research on pluricanonical bundles and multiplier ideal sheaves for a degenerate family of complex manifoldsPrincipal Investigator

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Multiplier ideal sheaves in complex geometry ; the foundation and its applications.Principal Investigator

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Takayama Shigeharu 高山茂晴

TAKAYAMA Shigeharu 高山茂晴