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arXiv · 1901.09414

Exodromy for stacks

Clark Barwick·Peter Haine
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Abstract

In this short note we extend the Exodromy Theorem of arXiv:1807.03281 to a large class of stacks and higher stacks. We accomplish this by extending the Galois category construction to simplicial schemes. We also deduce that the nerve of the Galois category of a simplicial scheme is equivalent to its \'etale topological type in the sense of Friedlander.

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Clark Barwick, Peter Haine. 2019-01-27. Exodromy for stacks. https://arxiv.org/abs/1901.09414

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