Semistable reduction in characteristic 0

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Abstract

We address the semistable reduction conjecture of Abramovich and Karu: we prove that every surjective morphism of complex projective varieties can be modified to a semistable one. The key ingredient is a combinatorial result on triangulating lattice Cayley polytopes.

Original languageAmerican English
StatePublished - 2019
Event31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 - Ljubljana, Slovenia
Duration: 1 Jul 20195 Jul 2019

Conference

Conference31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019
Country/TerritorySlovenia
CityLjubljana
Period1/07/195/07/19

Bibliographical note

Publisher Copyright:
© FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.

Keywords

  • Cayley polytopes
  • Mixed subdivisions
  • Semistable reduction

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