Simple normal crossing varieties with prescribed dual complex
Algebraic Geometry
2013-01-08 v1
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--Koll\'ar (math.AG:1109.4047) on the existence of singularities with given dual complex.
Keywords
Cite
@article{arxiv.1301.1089,
title = {Simple normal crossing varieties with prescribed dual complex},
author = {János Kollár},
journal= {arXiv preprint arXiv:1301.1089},
year = {2013}
}