Simple normal crossing varieties with prescribed dual complex

János Kollár

doi:10.14231/AG-2014-004

Simple normal crossing varieties with prescribed dual complex

János Kollár

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We prove that every simplicial complex is the dual complex of some simple normal crossing divisor in a smooth variety. As an application, we simplify and extend earlier results on the existence of singularities with given dual complex.

Original language	English (US)
Pages (from-to)	57-68
Number of pages	12
Journal	Algebraic Geometry
Volume	1
Issue number	1
DOIs	https://doi.org/10.14231/AG-2014-004
State	Published - Jan 1 2014

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

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10.14231/AG-2014-004

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abstract = "We prove that every simplicial complex is the dual complex of some simple normal crossing divisor in a smooth variety. As an application, we simplify and extend earlier results on the existence of singularities with given dual complex.",

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Simple normal crossing varieties with prescribed dual complex

Abstract

All Science Journal Classification (ASJC) codes

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