Séminaire Lotharingien de Combinatoire, 82B.25 (2019), 10 pp.

Karim Adiprasito, Gaku Liu, and Michael Temkin

Semistable reduction in characteristic 0

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.

Received: November 15, 2018. Accepted: February 17, 2019. Final version: April 1, 2019.

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