The symmetric power and \'{e}tale realisation functors commute
Algebraic Geometry
2015-02-05 v1 Algebraic Topology
Abstract
We show that under mild hypotheses on a proper algebraic space , the functors of taking its symmetric powers and its \'{e}tale realisation commute up to weak equivalence. We conclude an effective version of the Dold-Thom theorem for the \'{e}tale site and discuss the stabilisation results for the natural morphisms of \'{e}tale homotopy groups in the context of the Weil conjectures.
Keywords
Cite
@article{arxiv.1502.01104,
title = {The symmetric power and \'{e}tale realisation functors commute},
author = {Arnav Tripathy},
journal= {arXiv preprint arXiv:1502.01104},
year = {2015}
}