Affineness of the maximal étale locus

Fuente: arXiv
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Auteur principal: Zelich, Ivan
Format: Preprint
Publié: 2026
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author Zelich, Ivan
author_facet Zelich, Ivan
contents 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 étale schemes over excellent regular local rings, which we will prove by tilting to perfect rings.
format Preprint
id arxiv_https___arxiv_org_abs_2603_17760
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Affineness of the maximal étale locus
Zelich, Ivan
Algebraic Geometry
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 étale schemes over excellent regular local rings, which we will prove by tilting to perfect rings.
title Affineness of the maximal étale locus
topic Algebraic Geometry
url https://arxiv.org/abs/2603.17760