Approximation at places of bad reduction

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This paper addresses weak approximation for rationally connected varieties defined over the function field of a curve, especially at places of bad reduction. Our approach entails analyzing the rational connectivity of the smooth locus of singular reductions of the variety. As an application, we prove weak approximation for cubic surfaces with square-free discriminant.

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Algebraic Geometry, 14D06; 14G25

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http://salesiana.dossiersoluciones.com/handle/123456789/112737

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605274
 http://arxiv.org/abs/math/0605274

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arXiv