Rationally connected varieties and fundamental groups

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Let U be an open subset of a unirational variety (or more generally of a separably rationally connected variety). We prove that there is rational curve C in U such that the fundamental group of C surjects onto the fundamental group of U. The proof improves the earlier proof (math.AG/0003138) and works in any characteristic. Much improved version, thanks to comments of Colliot-Thélène.

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Algebraic Geometry, 14J40, 14H30

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http://salesiana.dossiersoluciones.com/handle/123456789/63591

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203174
 http://arxiv.org/abs/math/0203174

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arXiv