KAWAMATA Yujiro

J-GLOBAL         Last updated: Mar 19, 2018 at 18:57
 
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Name
KAWAMATA Yujiro
Affiliation
The University of Tokyo
Section
Graduate School of Mathematical Sciences, Algebra
Job title
Professor
Degree
Doctor of Science(The University of Tokyo)

Research Interests

 
 

Research Areas

 
 

Published Papers

 
Kawamata Yujiro
EUROPEAN JOURNAL OF MATHEMATICS   2(1) 196-207   Mar 2016   [Refereed]
Kawamata Yujiro, Okawa Shinnosuke
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK   701 195-203   Apr 2015   [Refereed]
Variation of mixed Hodge structures and the positivity for algebraic fiber spaces
Kawamata Yujiro
ALGEBRAIC GEOMETRY IN EAST ASIA - TAIPEI 2011   65 27-57   2015   [Refereed]
Kawamata Yujiro
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY   57(1) 175-189   Feb 2014   [Refereed]
Kawamata Yujiro
AMERICAN JOURNAL OF MATHEMATICS   135(1) 115-124   Feb 2013   [Refereed]

Misc

 
Yujiro Kawamata
   Oct 2017
This paper is based on a talk at a conference "JDG 2017: Conference on
Geometry and Topology". We survey recent progress on the DK hypothesis
connecting the birational geometry and the derived categories stating that the
K-equivalence of smooth pr...
Fabrizio Catanese, Yujiro Kawamata
   Sep 2017
We generalize a result of Fujita, on the decomposition of Hodge bundles over
curves, to the case of a higher dimensional base.
Yujiro Kawamata
   Sep 2016
We prove that the equivariant derived category for a finite subgroup of
GL(3,C) has a semi-orthogonal decomposition into the derived category of a
certain partial resolution, called a maximal Q-factorial terminalization, of
the corresponding quoti...
Yujiro Kawamata
   Dec 2015
We shall develop a theory of multi-pointed non-commutative deformations of a
simple collection in an abelian category, and construct relative exceptional
objects and relative spherical objects in some cases. This is inspired by a
work by Donovan a...
Yujiro Kawamata
   Dec 2014
We prove derived McKay correspondence in special cases and the decomposition
of toric K-equivalence into flops.

Books etc

 
Addition formula of logarithmic Kodaira dimensions for morphisms of relative dimension one.
Algebraic Geometry Kyoto 1977, (Kinokuniya, Tokyo)   1978   
A characterization of an abelian variety.
Algebraic Geometry Angers 1979   1980   
Canonical and minimal models of algebraic varieties.
Proc. Intl. Cong. Math. Kyoto 1990   1991   
Rational curves and classification of algebraic varieties.
Essays on Mirror Manifolds(International Press, Hong Kong)   1992   
Divisorial contractions to 3-dimensional terminal quotient singularities.
Higher Dimensional Complex Varieties(Proc. Trento), (Walter de Gruyter)   1996   

Research Grants & Projects

 
Classification theory of higher dimensional algebraic varieties