Rchr
J-GLOBAL ID：200901089912059340
Update date: Jul. 16, 2024
Moriwaki Atsushi
モリワキ アツシ | Moriwaki Atsushi
Affiliation and department：
Job title：
Professor
Research field (1)：
Algebra
Research keywords (2)：
代数幾何学
, Algebraic Geometry
Research theme for competitive and other funds (30)：
- 2021 - 2026 Symplectic algebraic geometry and moduli spaces
- 2021 - 2026 Arakelov geometry over adelic curves
- 2016 - 2021 New development of algebraic geometry viewed from theoretical physics
- 2017 - 2020 Studies on Diophantine Geometry and Arakelov geometry
- 2013 - 2018 Moduli spaces of algebraic varieties and self-morphisms
- 2011 - 2016 Analytic torsion and geometry
- 2010 - 2015 Constructions and developments of geomerty on moduli spaces and arithmetic varieties
- 2008 - 2011 非可換岩澤理論とその周辺
- 2007 - 2009 Higher dimensional category and its applications
- 2006 - 2009 Research on algebraic topology and its geometric applications
- 2005 - 2008 Diophantine geometry and moduli problems
- 2004 - 2006 Homotopy Theoretic Study of Higher Dimensional Categories
- 2003 - 2006 Research on Application of Computer Algebra to Algebraic Geometry
- 2002 - 2006 Geometry of integrable systems with infinite degrees of freedom and new development of moduli theory.
- 2003 - 2005 Homotopical Algebra and its Geometric Applications
- 2003 - 2005 Complex symplectic varieties and derived categories
- 2002 - 2004 Many-sided researches on rationally connected projective varieties-Fano varieties are unirational ?
- 2001 - 2004 Moduli spaces and arithmetic geometry
- 2000 - 2002 Algebraic Geometry, Differential Geometry and Topology of Manifolds
- 1999 - 2000 Arakelov geometry and its related topics
- 1998 - 2000 Study of Moduli and its Applications
- 1998 - 1998 代数幾何学と計算機代数、符号理論
- 1996 - 1996 代数体又は関数体上で定義された代数多様体の有理点の分布
- 1996 - 1996 アラケロフ幾何とその応用
- 1992 - 1993 Higher Dimensional Algebraic Varieties
- 1990 - 1990 代数多様体および複素多様体の研究
- 1988 - 1988 複素多様体の研究
- 1987 - 1987 高次元代数多様体及び複素多様体の双有理幾何の研究
- 代数多様体の有理点
- Rational points on algebraic vavieties
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Papers (54)：
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Huayi Chen, Atsushi Moriwaki. Metrized vector bundles: local theory. Lecture Notes in Mathematics. 2020. 2258. 1-106
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Huayi Chen, Atsushi Moriwaki. Adelic line bundles on arithmetic varieties. Lecture Notes in Mathematics. 2020. 2258. 327-402
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Huayi Chen, Atsushi Moriwaki. Adelic curves. Lecture Notes in Mathematics. 2020. 2258. 167-204
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Huayi Chen, Atsushi Moriwaki. Slopes of tensor product. Lecture Notes in Mathematics. 2020. 2258. 297-326
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Huayi Chen, Atsushi Moriwaki. Nakai-Moishezon’s criterion. Lecture Notes in Mathematics. 2020. 2258. 403-426
ｍore...
MISC (4)：
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森脇 淳. Diophantine geometry viewed from Arakelov geometry. Sugaku Expositions 17, no. 2, 219-234. 2004
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Moriwaki Atsushi. HEIGHT FUNCTIONS OVER FUNCTION FIELDS (Diophantine Problems and Analytic Number Theory). RIMS Kokyuroku. 2003. 1319. 14-23
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川口周, 森脇淳, 山木壱彦. Introduction to Arakelov geometry. Algebraic geometry in East Asia (Kyoto, 2001), 1-74, World Sci. Publ., River Edge, NJ. 2002
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A MORIWAKI. RELATIVE ZARISKI DECOMPOSITION ON HIGHER DIMENSIONAL ALGEBRAIC-VARIETIES. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES. 1986. 62. 3. 108-111
Books (4)：
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Arakelov geometry over adelic curves
Springer 2020 ISBN:9789811517273
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モーデル・ファルティングスの定理 ディオファントス幾何からの完全証明
サイエンス社 2017
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Arakelov geometry
American Mathematical Society 2014
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アラケロフ幾何
岩波書店 2008 ISBN:4000075519
Lectures and oral presentations (17)：
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Extension property for non-reduced schemes
(Groupe d’Etude sur les Problèmes Diophantiens 2018)
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Dirichlet property and dynamical systems
(Newton-Okounkov Bodies, Test Configurations, and Diophantine Geometry 2017)
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Sufficient conditions for the Dirichlet property
(Intercity Seminar on Arakelov Theory 2017 2017)
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Zariski decompositions on arithmetic varieties
(Corps d'Okounkov 2016)
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Semiample invertible sheaves with semipositive continuous hermitian metrics
(Distribution of Rational and Holomorphic Curves in Algebraic Varieties 2015)
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Professional career (1)：
Association Membership(s) (1)：
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