Fundamental groups of rationally connected varieties
| dc.creator | Kollár, János | |
| dc.date | 2000-03-23 | |
| dc.date.accessioned | 2026-07-07T04:34:24Z | |
| dc.date.available | 2026-07-07T04:34:24Z | |
| dc.description | 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-Thélène 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 Teichmüller group. | |
| dc.description | 12 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0003138 | |
| dc.identifier | http://arxiv.org/abs/math/0003138 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58886 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J45 (Primary) 14E20, 14F35, 14H15 (Secondary) | |
| dc.title | Fundamental groups of rationally connected varieties | |
| dc.type | text |