Deligne's integrality theorem in unequal characteristic and rational points over finite fields; and Appendix (w/Pierre Deligne)
| dc.creator | Esnault, Hélène | |
| dc.date | 2004-05-17 | |
| dc.date | 2007-02-16 | |
| dc.date.accessioned | 2026-07-07T07:47:02Z | |
| dc.date.available | 2026-07-07T07:47:02Z | |
| dc.description | If $V$ is a smooth projective variety defined over a local field $K$ with finite residue field, so that its étale cohomology over the algebraic closure $\bar{K}$ is supported in codimension 1, then the mod $p$ reduction of a projective regular model carries a rational point. As a consequence, if the Chow group of 0-cycles of $V$ over a large algebraically closed field is trivial, then the mod $p$ reduction of a projective regular model carries a rational point. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0405318 | |
| dc.identifier | http://arxiv.org/abs/math/0405318 | |
| dc.identifier | Ann. of Math. (2) 164 (2006), no. 2, 715--730 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124030 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Deligne's integrality theorem in unequal characteristic and rational points over finite fields; and Appendix (w/Pierre Deligne) | |
| dc.type | text |