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arXiv:math/0003138 [math.AG]AbstractReferencesReviewsResources

Fundamental groups of rationally connected varieties

János Kollár

Published 2000-03-23Version 1

Let U be an open subset of a unirational 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. As a consequence we obtain new proofs of the theorems of Harbater and Colliot-Th\'el\`ene on Galois covers and torsors over the p-adic line. We also obtain examples of pencils of curves of genus <14 whose monodromy group is the full Teichm\"uller group.

Comments: 12 pages, LaTeX
Categories: math.AG
Subjects: 14J45, 14E20, 14F35, 14H15
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