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

Algebraic Geometry 2024-01-24 v3 Number Theory

Abstract

We show that the tame \'etale fundamental group of a connected normal finite type separated scheme remains invariant upon base change between algebraically closed fields of characteristic p0p \geq 0.

Keywords

Cite

@article{arxiv.2005.09690,
  title  = {Invariance of the tame fundamental group under base change between algebraically closed fields},
  author = {Aaron Landesman},
  journal= {arXiv preprint arXiv:2005.09690},
  year   = {2024}
}

Comments

Minor update to edit a comment about a reference to Szamuely's book