Mori Shigefumi

モリシゲフミ | Mori Shigefumi

Affiliation and department：

Research field (1)： Algebra

Research keywords (5)： minimal model , terminal singularity , extremal contraction , Fano variety , extremal ray

Research theme for competitive and other funds (32)：

2013 - 2018 Various problems related to the classification in higher dimensional birational geometry
2012 - 2017 Developments in Interactions between Algebraic Geometry and Integrable Systems
2010 - 2013 Moduli theoretic study of Fano varieties and Enriques surfaces
2008 - 2012 Various problems related to the classification in higher dimensional birational geometry
2007 - 2011 New developments and interaction between Algebraic Geometry and Integrable Systems

2007 - 2010 Theory of log mixed Hodge structures and its applications to geometry

2005 - 2008 Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^<th> problem of Hilbert

2004 - 2007 Various Problems on the Classification in Higher Dimensional Birational Geometry

2003 - 2006 Study of algebraic varieties by log Hosge theory

2003 - 2006 Arithmetic of Algebraic Varieties and their Moduli Spaces

2002 - 2003 Degeneration of algebraic varieties and log geometry

2001 - 2003 The flag variety of elliptic Lie algebra and elliptic primitive automorphic forms

2000 - 2003 Classification problems in Higher Dimensional Birational Geometry

2000 - 2002 Complex symplectic manifolds and related topics

1999 - 2001 Research on Interactions of Algebraic Geometry, Hodge Theory and Logarithmic Geometry

1997 - 1999 Primitive Forms and Period Maps

1997 - 1999 Various problems related to classifications around the higher dimensional birational geometry

1997 - 1999 Synthetic research of algebraic geometry with an expectation of wide applications

1996 - 1998 Algebraic Geometry and Hodge Theory

1996 - 1996 高次元代数多様体の双正則幾何

1996 - 1996 Algebraic analysis of infinite symmetry

1996 - 1996 高次元代数多様体と共形場理論

1995 - 1996 Orenall Study on Algebraic Varieties and its Applications

1995 - 1995 代数多様体の分類とその上の曲線(共形場理論)

1994 - 1994 代数多様体上の大城解析

1992 - 1994 Algebra and Geometry on Algebraic Varieties

1993 - 1993 代数構造の表現と組み合わせ論

1992 - 1993 Higher Dimensional Algebraic Varieties

1992 - 1992 モジュラー多様体と不連続群の整数論

1989 - 1991 Algebraic Theory of Manifolds

1989 - 1989 微分不変式とその応用に関する研究

1988 - 1988 三次元多様体について

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Papers (58)：

S. Mori, Yu. G. Prokhorov. General elephants for threefold extremal contractions with one-dimensional fibres: exceptional case. Sbornik: Mathematics. 2021. 212. 3. 351-373
S. Mori, Y. Prokhorov. Threefold extremal curve germs with one non-Gorenstein point. Izvestija: Mathematics. 2019. 83. 3. 565-612
S. Mori, Y. Prokhorov. Threefold Extremal Contractions of Types (IIA). Part II, in "Geometry and Physics: Volume II, in honour of Nigel Hitchin". Oxford Univ. Press. 2018. 623-652
藤野修, 森重文. 対談:森理論について. 数学. 2017. 69. 3. 294-319
S. Mori, Yu. G. Prokhorov. Threefold extremal contractions of type (IIA). I. IZVESTIYA MATHEMATICS. 2016. 80. 5. 884-909

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MISC (1)：

Masaki Kashiwara, Shigefumi Mori, Shigeru Mukai, Kyoji Saito, Yum-Tong Siu, Bernard Teissier, Stephen S. -T. Yau. Preface. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. 2008. 44. 2

Books (1)：

Birational geometry of algebraic varieties: Open problems
Proc. the 23rd international Taniguchi symposium 1988

Lectures and oral presentations (49)：

Rational Curves on Algebraic Varieties - extremal rays and MMP -
(Conference in memory of Andrei Nikolaevich Tjurin 2020)
On the classification of algebraic varieties
(Colloquium, TIFR, Mumbai 2019)
Extremal contractions of 3-folds with fiber dimension 1
(2019)
Rational curves on algebraic varieties
(2019)
Around extremal rays and classificaiton of Fano 3-folds: personal recollections
(向井茂教授退職記念研究集会 2019)

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Association Membership(s) (4)：

National Academy of Sciences , Russian Academy of Sciences , American Academy of Arts and Sciences , The Mathematical Society of Japan

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