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Yujiro Kawamata

Yujiro Kawamata

D-Index & Metrics

Mathematics

D-Index
39
Citations
9168
World Ranking
2142
National Ranking
34

Overview

Yujiro Kawamata is affiliated with the University of Tokyo in Japan. Their research spans a range of topics primarily in mathematics and physics, with a focus on geometry, algebra, topology, and mathematical physics.

Their recent papers include:

  • Non-commutative deformations of simple objects in a category of perverse coherent sheaves (2020, Selecta Mathematica)
  • On non-commutative formal deformations of coherent sheaves on an algebraic variety (2021, EMS Surveys in Mathematical Sciences)
  • Non-commutative deformations of perverse coherent sheaves and rational curves (2022, Journal of Algebraic Geometry)
  • On the derived category of a weighted projective threefold (2021, Bollettino dell Unione Matematica Italiana)
  • Deformations over non-commutative base (2024, Comptes Rendus Mathématique)

Kawamata has published primarily in the following venues:

  • arXiv (Cornell University)
  • Selecta Mathematica
  • EMS Surveys in Mathematical Sciences
  • Journal of Algebraic Geometry
  • Bollettino dell Unione Matematica Italiana

The primary fields of study for Kawamata's research are Mathematics and Physics and Astronomy. Within these broad fields, their work engages with several subfields, including:

  • Geometry and Topology
  • Algebra and Number Theory
  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Discrete Mathematics and Combinatorics

The main topics of Kawamata's research cover:

  • Algebraic structures and combinatorial models
  • Nonlinear Waves and Solitons
  • Advanced Topics in Algebra
  • Algebraic Geometry and Number Theory
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Algebra and Geometry
  • Finite Group Theory Research

In addition to journal articles, Kawamata has authored a book published by Cambridge University Press titled Algebraic Varieties: Minimal Models and Finite Generation (2024).

Best Publications

  • Introduction to the Minimal Model Problem

    Yujiro Kawamata;Katsumi Matsuda;Kenji Matsuki

  • Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces

    Yujiro Kawamata

  • Characterization of abelian varieties

    Yujiro Kawamata

  • A Generalization of Kodaira-Ramanujam's Vanishing Theorem.

    Yujiro Kawamata

  • Pluricanonical systems on minimal algebraic varieties

    Y. Kawamata

  • The cone of curves of algebraic varieties

    Yujiro Kawamata

  • Minimal models and the Kodaira dimension of algebraic fiber spaces.

    Unknown

  • D-Equivalence and K-Equivalence

    Yujiro Kawamata

  • Subadjunction of log canonical divisors, II

    Yujiro Kawamata

  • On Fujita's freeness conjecture for 3-folds and 4-folds

    Yujiro Kawamata

  • On the length of an extremal rational curve

    Yujiro Kawamata

  • Derived categories of toric varieties II

    Yujiro Kawamata

  • Flops Connect Minimal Models

    Yujiro Kawamata

  • Abundance theorem for minimal threefolds

    Yujiro Kawamata

  • Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties

    Yujiro Kawamata;Yoshinori Namikawa

  • Kodaira Dimension of Algebraic Fiber Spaces Over Curves.

    Yujiro Kawamata

  • On the cone of curves of algebraic varieties

    Unknown

  • On the Cone of divisors of Calabi-Yau fiber spaces

    Yujiro Kawamata

  • Log Crepant Birational Maps and Derived Categories

    Yujiro Kawamata

  • Divisorial contractions to 3-dimensional terminal quotient singularities

    Yujiro Kawamata

  • Deformations of canonical singularities

    Yujiro Kawamata

  • On Bloch's conjecture

    Yujiro Kawamata;Yujiro Kawamata

Frequent Co-Authors

Fabrizio Catanese
Fabrizio Catanese University of Bayreuth
Gang Tian
Gang Tian Peking University
Thomas Peternell
Thomas Peternell University of Bayreuth

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