An Effective Version of Chevalley-Weil Theorem for Projective Plane Curves

Details An Effective Version of Chevalley-Weil Theorem for Projective Plane Curves An Effective Version of Chevalley-Weil Theorem for Projective Plane Curves

2009-04-24

arxiv.org/abs/0904.3845v1

Mathematics

Algebraic Geometry

Scientific paper

We obtain a quantitative version of the classical Chevalley-Weil theorem for
curves. Let $\phi : \tilde{C} \to C$ be an unramified morphism of non-singular
plane projective curves defined over a number field $K$. We calculate an
effective upper bound for the norm of the relative discriminant of the number
field $K(Q)$ over $K$ for any point $P\in C(K)$ and $Q\in{\phi}^{-1}(P)$

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