Quantitative Chevalley-Weil Theorem for Curves

Yuri Bilu (1) , Marco Strambi (1) , Andrea Surroca (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 IMJ - Institut de Mathématiques de Jussieu

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.

Domaines: Théorie des nombres [math.NT]

Yuri Bilu, Marco Strambi, Andrea Surroca. Quantitative Chevalley-Weil Theorem for Curves. Monatshefte für Mathematik, 2013, 171, pp.1-32. ⟨10.1007/s00605-013-0507-0⟩. ⟨hal-00960219⟩