English

Exodromy for stacks

Algebraic Geometry 2019-01-29 v1

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.

Keywords

Cite

@article{arxiv.1901.09414,
  title  = {Exodromy for stacks},
  author = {Clark Barwick and Peter Haine},
  journal= {arXiv preprint arXiv:1901.09414},
  year   = {2019}
}

Comments

Comments very welcome. 7 pages

R2 v1 2026-06-23T07:23:26.959Z