Affineness of the maximal \'{e}tale locus
Algebraic Geometry
2026-03-19 v1
Abstract
In this paper we will prove a strong version of the celebrated purity of the ramification locus theorem in algebraic geometry. Our key input is a Tor-independence result for global sections of \'{e}tale schemes over excellent regular local rings, which we will prove by tilting to perfect rings.
Cite
@article{arxiv.2603.17760,
title = {Affineness of the maximal \'{e}tale locus},
author = {Ivan Zelich},
journal= {arXiv preprint arXiv:2603.17760},
year = {2026}
}