The Geometry and Arithmetic of Elliptic Surfaces

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We survey some aspects of the theory of elliptic surfaces and give some results aimed at determining the Picard number of such a surface. For the surfaces considered, this will be equivalent to determining the Mordell-Weil rank of an elliptic curve defined over a function field in one variable. An interesting conjecture concerning Galois actions on the relative de~Rham cohomology of these surfaces is discussed.
12 pages, Plain TeX

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/149756

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9202011
 http://arxiv.org/abs/alg-geom/9202011

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arXiv