Rationally connected varieties over finite fields
| dc.creator | Kollár, János | |
| dc.creator | Szabó, Endre | |
| dc.date | 2002-03-21 | |
| dc.date | 2002-12-02 | |
| dc.date.accessioned | 2026-07-07T04:47:13Z | |
| dc.date.available | 2026-07-07T04:47:13Z | |
| dc.description | Let X be a geometrically rational (or more generally, separably rationally connected) variety over a finite field K. We prove that if K is large enough then X contains many rational curves defined over K. As a consequence we prove that R-equivalence is trivial on X if K is large enough. These imply that if Y is defined over a local field and it has good, separably rationally connected reduction then the Chow group of zero cycles is trivial for any residue field. R-equivalence is also trivial if the residue field is large enough. | |
| dc.identifier | https://arxiv.org/abs/math/0203220 | |
| dc.identifier | http://arxiv.org/abs/math/0203220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63623 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G15, 14J20, 14M20 (primary) 14C15, 14G20 (secondary) | |
| dc.title | Rationally connected varieties over finite fields | |
| dc.type | text |