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

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We obtain a quantitative version of the classical Chevalley-Weil theorem for curves. Let $ϕ: \tilde{C} \to C$ 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 $Q\inϕ^{-1}(P)$

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Algebraic Geometry, Number Theory, 14G25, 14H25, 14G05, 11G30

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http://salesiana.dossiersoluciones.com/handle/123456789/228424

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.3845
 http://arxiv.org/abs/0904.3845

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arXiv