His scientific interests lie mostly in Pure mathematics, Algebra, Minimal model, Abelian group and Algebraic variety. His Pure mathematics research is multidisciplinary, relying on both Discrete mathematics and Gravitational singularity. His Center, Codimension and Parametric equation study in the realm of Algebra connects with subjects such as Polynomial and rational function modeling.
His work deals with themes such as Minimal model program, Mathematical optimization and Algebraic manifold, which intersect with Minimal model. His research in Abelian group intersects with topics in Characterization, Algebraic geometry, Toric variety and Kodaira dimension. His research integrates issues of Algebraic surface, Canonical ring, Cone of curves, Algebraic cycle and Birational geometry in his study of Algebraic variety.
Yujiro Kawamata mostly deals with Pure mathematics, Discrete mathematics, Algebra, Algebraic surface and Algebraic geometry. His Pure mathematics research incorporates themes from Algebraic number and Mathematical analysis. He combines subjects such as Dimension, Ambient space, Minimal models and Abelian variety with his study of Discrete mathematics.
His work in the fields of Algebra, such as Canonical ring, intersects with other areas such as Derived category. His Algebraic surface study integrates concerns from other disciplines, such as Algebraic cycle, Real algebraic geometry, Function field of an algebraic variety and Dimension of an algebraic variety. The Algebraic geometry study which covers Equivalence that intersects with Quotient and Gravitational singularity.
Yujiro Kawamata mainly investigates Pure mathematics, Coherent sheaf, Derived category, Commutative property and Decomposition. His work on Projective test, Algebraic geometry and Equivalence as part of general Pure mathematics study is frequently connected to FLOPS and Orthogonal decomposition, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His work in Projective test tackles topics such as Birational geometry which are related to areas like Equivalence and Topology.
His research integrates issues of Algebraic variety, Simple, Morphism and Abelian category in his study of Commutative property. His Algebraic variety research is multidisciplinary, incorporating perspectives in Resolution, Algebra over a field and Injective function. His work on Algebra expands to the thematically related Generalization.
Yujiro Kawamata focuses on Pure mathematics, Algebraic geometry, FLOPS, Abelian group and Base. Pure mathematics is often connected to Simple in his work. His Simple research is multidisciplinary, incorporating elements of Calabi–Yau manifold, Commutative property, Exceptional object and Abelian category.
His Base research spans across into fields like Fujita scale and Decomposition. His studies in Geometry and topology integrate themes in fields like Birational geometry, Embedding, Equivalence and Projective test.
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Introduction to the Minimal Model Problem
Yujiro Kawamata;Katsumi Matsuda;Kenji Matsuki.
Algebraic Geometry, Sendai, 1985 (1987)
Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
Annals of Mathematics (1988)
Characterization of abelian varieties
Compositio Mathematica (1981)
A Generalization of Kodaira-Ramanujam's Vanishing Theorem.
Mathematische Annalen (1982)
Pluricanonical systems on minimal algebraic varieties
Inventiones Mathematicae (1985)
The cone of curves of algebraic varieties
Annals of Mathematics (1984)
D-Equivalence and K-Equivalence
Journal of Differential Geometry (2002)
Subadjunction of log canonical divisors, II
American Journal of Mathematics (1998)
On Fujita's freeness conjecture for 3-folds and 4-folds
Mathematische Annalen (1997)
On the length of an extremal rational curve
Inventiones Mathematicae (1991)
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