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 this article
Pietro Corvaja, Amos Turchet, Umberto Zannier, Around the Chevalley–Weil theorem. Enseign. Math. 68 (2022), no. 1/2, pp. 217–235DOI 10.4171/LEM/1027