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arXiv · 0908.1233

Quantitative Chevalley-Weil theorem for curves

Yuri Bilu·Marco Strambi·Andrea Surroca
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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.

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Yuri Bilu, Marco Strambi, Andrea Surroca. 2009-08-09. Quantitative Chevalley-Weil theorem for curves. https://arxiv.org/abs/0908.1233

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