A relative Shafarevich theorem

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Suppose given a Galois etale cover Y -> X of proper non-singular curves over an algebraically closed field k of prime characteristic p. Let H be its Galois group, and G any finite extension of H by a p-group P. We give necessary and sufficient conditions on G to be the Galois group of an etale cover of X dominating Y -> X.
13 pages

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Algebraic Geometry, 14H30

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http://salesiana.dossiersoluciones.com/handle/123456789/63739

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204088
 http://arxiv.org/abs/math/0204088

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arXiv