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arXiv:math/0203174 [math.AG]AbstractReferencesReviewsResources

Rationally connected varieties and fundamental groups

János Kollár

Published 2002-03-18, updated 2002-11-13Version 2

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-Th\'el\`ene.

Categories: math.AG
Subjects: 14J40, 14H30
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