Quantitative Chevalley-Weil theorem for curves

Mathematics – Number Theory

Scientific paper

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version 3: in the main theorem mn^3 replaced by mn^2, as conjectured in version 2

Scientific paper

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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