# A quantitative Chevalley-Weil theorem for curves

Bilu, Yuri and Strambi, Marco and Surroca, Andrea. (2013) A quantitative Chevalley-Weil theorem for curves. Monatshefte für Mathematik, Vol. 171.

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Official URL: http://edoc.unibas.ch/dok/A6165150

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.