Weil-etale cohomology over finite fields
| dc.creator | Geisser, Thomas H. | |
| dc.date | 2004-04-23 | |
| dc.date.accessioned | 2026-07-07T05:07:40Z | |
| dc.date.available | 2026-07-07T05:07:40Z | |
| dc.description | We calculate the total derived functor for the map from the Weil-etale site introduced by Lichtenbaum to the etale site for varieties over finite fields. In particular, there is a long exact sequence relating Weil-etale cohomology and etale cohomology. In the second half of the paper, we apply this to study the Weil-etale cohomology of the motivic complex for smooth and projective varieties. These groups are expected to be finitely generated, to give an integral model for l-adic cohomology, and to be related to special values of the zeta function. We give necessary and sufficient conditions for this to hold, and examples. | |
| dc.description | Revised version | |
| dc.identifier | https://arxiv.org/abs/math/0404425 | |
| dc.identifier | http://arxiv.org/abs/math/0404425 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70947 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F20 (Primary) 14F42, 11G25 (Secondary) | |
| dc.title | Weil-etale cohomology over finite fields | |
| dc.type | text |