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arXiv · 1706.07999

Factorization for stacks and boundary complexes

Alicia Harper
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Abstract

We prove a weak factorization result on birational maps of Deligne-Mumford stacks, and deduce the following: Let $U \subset X$ be an open embedding of smooth Deligne-Mumford stacks such that $D = X-U$ is a normal crossings divisor, then the the simple homotopy type of the boundary complex $\Delta(X,D)$ depends only on $U$.

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Alicia Harper. 2017-06-24. Factorization for stacks and boundary complexes. https://arxiv.org/abs/1706.07999

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