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arXiv · 1301.1089

Simple normal crossing varieties with prescribed dual complex

János Kollár
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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 the results of Kapovich--Kollár (math.AG:1109.4047) on the existence of singularities with given dual complex.

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János Kollár. 2013-01-07. Simple normal crossing varieties with prescribed dual complex. https://arxiv.org/abs/1301.1089

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