Finiteness of rigid cohomology with coefficients
| dc.creator | Kedlaya, Kiran S. | |
| dc.date | 2002-08-04 | |
| dc.date | 2005-11-03 | |
| dc.date.accessioned | 2026-07-07T06:35:30Z | |
| dc.date.available | 2026-07-07T06:35:30Z | |
| dc.description | We prove that for any field k of characteristic p>0, any separated scheme X of finite type over k, and any overconvergent F-isocrystal E over X, the rigid cohomology H^i(X, E) and rigid cohomology with compact supports H^i_c(X,E) are finite dimensional vector spaces. We also establish Poincare duality and the Kunneth formula with coefficients. The arguments use a pushforward construction in relative dimension 1, based on a relative version of Crew's conjecture on the quasi-unipotence of certain p-adic differential equations. | |
| dc.description | 70 pages; v6: corrections to 8.3, 8.4, 9.3 | |
| dc.identifier | https://arxiv.org/abs/math/0208027 | |
| dc.identifier | http://arxiv.org/abs/math/0208027 | |
| dc.identifier | preprint; published version: Duke Math. J. 134 (2006), 15-97 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99811 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14F30; 14F40, 14G22 | |
| dc.title | Finiteness of rigid cohomology with coefficients | |
| dc.type | text |