Coniveau over $p$-adic fields and points over finite fields
| dc.creator | Esnault, Hélène | |
| dc.date | 2007-04-10 | |
| dc.date.accessioned | 2026-07-07T07:55:57Z | |
| dc.date.available | 2026-07-07T07:55:57Z | |
| dc.description | If the $\ell$-adic cohomology of a projective smooth variety, defined over a $\frak{p}$-adic field $K$ with finite residue field $k$, is supported in codimension $\ge 1$, then any model over the ring of integers of $K$ has a $k$-rational point. This slightly improves our earlier result math/0405318: we needed there the model to be regular (but then our result was more general: we obtained a congruence for the number of points, and $K$ could be local of characteristic $p>0$). | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/0704.1273 | |
| dc.identifier | http://arxiv.org/abs/0704.1273 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127138 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Coniveau over $p$-adic fields and points over finite fields | |
| dc.type | text |