Semistable reduction in characteristic 0

Karim Adiprasito; Gaku Liu; Michael Temkin

Semistable reduction in characteristic 0

Karim Adiprasito, Gaku Liu, Michael Temkin

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-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 language	English
Article number	#25
Journal	Seminaire Lotharingien de Combinatoire
Issue number	82
State	Published - 2019

Keywords

Cayley polytopes
mixed subdivisions
semistable reduction

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

Cite this

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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.",

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M3 - مقالة

SN - 1286-4889

JO - Seminaire Lotharingien de Combinatoire

JF - Seminaire Lotharingien de Combinatoire

IS - 82

M1 - #25

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Semistable reduction in characteristic 0

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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