Around the Chevalley-Weil Theorem
Number Theory
2021-04-13 v1 Algebraic Geometry
Abstract
We present a proof of the Chevalley-Weil Theorem that is somewhat different from the proofs appearing in the literature and with somewhat weaker hypotheses, of purely topological type. We also provide a discussion of the assumptions, and an application to solutions of generalized Fermat equations, where our statement allows to simplify the original argument of Darmon and Granville.
Cite
@article{arxiv.2104.05664,
title = {Around the Chevalley-Weil Theorem},
author = {Pietro Corvaja and Amos Turchet and Umberto Zannier},
journal= {arXiv preprint arXiv:2104.05664},
year = {2021}
}
Comments
12 pages, comments welcome