Quantitative Chevalley-Weil theorem for curves
Number Theory
2012-11-12 v4 Algebraic Geometry
Abstract
The classical Chevalley-Weil theorem asserts that for an \'etale 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.
Cite
@article{arxiv.0908.1233,
title = {Quantitative Chevalley-Weil theorem for curves},
author = {Yuri Bilu and Marco Strambi and Andrea Surroca},
journal= {arXiv preprint arXiv:0908.1233},
year = {2012}
}
Comments
version 4: minor inaccuracies in Lemma 3.4 and Proposition 5.2 corrected