Rationally connected varieties over local fields
| dc.creator | Kollár, János | |
| dc.date | 1999-01-06 | |
| dc.date | 1999-07-01 | |
| dc.date.accessioned | 2026-07-07T05:27:28Z | |
| dc.date.available | 2026-07-07T05:27:28Z | |
| dc.description | Let X be a smooth, projective variety defined over a local field K. Following Manin, two K-points of X are called R-equivalent if they can be joined by a rational curve defined over K. The main result of this note shows that if there are only finitely many R-equivalence classes over the algebraic closure of K then the same holds over K. This also yields the unirationality of several classes of varieties over K. | |
| dc.description | 11 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/9901021 | |
| dc.identifier | http://arxiv.org/abs/math/9901021 | |
| dc.identifier | Ann. of Math. (2) 150 (1999), no. 1, 357-367 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77928 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Rationally connected varieties over local fields | |
| dc.type | text |