Semistable reduction in characteristic 0

Karim Adiprasito*, Gaku Liu, Michael Temkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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

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  • Cayley polytopes
  • mixed subdivisions
  • semistable reduction


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