Invariance of the tame fundamental group under base change between algebraically closed fields

We show that the tame étale fundamental group of a connected normal finite type separated scheme remains invariant upon base change between algebraically closed fields of characteristic \(p \geq 0\).

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Bibliographic Details
Published inarXiv.org
Main Author Landesman, Aaron
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 20.01.2024
Subjects
Mathematics - Algebraic Geometry
Mathematics - Number Theory
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Summary:We show that the tame étale fundamental group of a connected normal finite type separated scheme remains invariant upon base change between algebraically closed fields of characteristic \(p \geq 0\).
ISSN:2331-8422
DOI:10.48550/arxiv.2005.09690