Arithmetic cohomology over finite fields and special values of zeta-functions
| dc.creator | Geisser, Thomas H. | |
| dc.date | 2004-05-10 | |
| dc.date | 2005-03-23 | |
| dc.date.accessioned | 2026-07-07T05:08:04Z | |
| dc.date.available | 2026-07-07T05:08:04Z | |
| dc.description | We construct a cohomology theory with compact support H^i_c(X_ar,Z(n))$ for separated schemes of finite type over a finite field, which should play a role analog to Lichtenbaum's Weil-etale cohomology groups for smooth and projective schemes. In particular, if Tate's conjecture holds and rational and numerical equivalence agree up to torsion, then the groups H^i_c(X_ar,Z(n)) are finitely generated, form an integral version of l-adic cohomology with compact support, and admit a formula for the special values of the zeta-function of X. | |
| dc.description | 28 pages, revised version | |
| dc.identifier | https://arxiv.org/abs/math/0405164 | |
| dc.identifier | http://arxiv.org/abs/math/0405164 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71116 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Arithmetic cohomology over finite fields and special values of zeta-functions | |
| dc.type | text |