Quantitative Chevalley-Weil theorem for curves

Abstract

The classical Chevalley-Weil theorem asserts that for an étale covering of projective varieties over a number field K, the discriminant of the field of definition of the fiber over a K-rational point is uniformly bounded. We obtain a fully explicit version of this theorem in dimension 1.

version 4: minor inaccuracies in Lemma 3.4 and Proposition 5.2 corrected

References in corpus (1)

• An Effective Version of Chevalley-Weil Theorem for Projective Plane Curves