Rational connectivity and sections of families over curves

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We show that if a family of complex varieties over a base B admits a section when restricted to a very general curve in B, then the family must contain a subfamily of rationally connected varieties dominating B. As an application, we deduce the existence of one parameter families of Enriques surfaces with no section.
21 pages

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/65298

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210225
 http://arxiv.org/abs/math/0210225

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arXiv