Congruence for rational points over finite fields and coniveau over local fields
| dc.creator | Esnault, Hélène | |
| dc.creator | Xu, Chenyang | |
| dc.date | 2007-06-07 | |
| dc.date.accessioned | 2026-07-07T08:04:27Z | |
| dc.date.available | 2026-07-07T08:04:27Z | |
| dc.description | If the $\ell$-adic cohomology of a projective smooth variety, defined over a local field $K$ with finite residue field $k$, is supported in codimension $\ge 1$, then every model over the ring of integers of $K$ has a $k$-rational point. For $K$ a $p$-adic field, this is math/0405318, Theorem 1.1. If the model $\sX$ is regular, one has a congruence $|\sX(k)|\equiv 1 $ modulo $|k|$ for the number of $k$-rational points 0704.1273, Theorem 1.1. The congruence is violated if one drops the regularity assumption. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0706.0972 | |
| dc.identifier | http://arxiv.org/abs/0706.0972 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129969 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Congruence for rational points over finite fields and coniveau over local fields | |
| dc.type | text |