Semistable reduction in characteristic 0

Karim Adiprasito*, Gaku Liu, Michael Temkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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
Article number#25
JournalSeminaire Lotharingien de Combinatoire
Issue number82
StatePublished - 2019

Bibliographical note

Funding Information:
∗adiprasito@math.huji.ac.il. K.A. was supported by ERC StG 716424 - CASe and ISF Grant 1050/16. †gakuliu@gmail.com. G.L. was supported by NSF grant 1440140. ‡michael.temkiin@mail.huji.ac.il. M.T. was supported by ERC Consolidator Grant 770922 - BirNonAr-chGeom and ISF Grant 1159/15.

Publisher Copyright:
© 2019, Seminaire Lotharingien de Combinatoire. All Rights Reserved.

Keywords

  • Cayley polytopes
  • mixed subdivisions
  • semistable reduction

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