Cohomology of Siegel Varieties with p-adic integral coefficients and Applications
| dc.creator | Mokrane, A. | |
| dc.creator | Tilouine, J. | |
| dc.date | 2000-12-12 | |
| dc.date.accessioned | 2026-07-07T04:39:10Z | |
| dc.date.available | 2026-07-07T04:39:10Z | |
| dc.description | Under the assumption that Galois representations associated to Siegel modular forms exist (it is known only for genus at most 2), we show that the cohomology with p-adic integral coefficients of Siegel Varieties, when localized at a non-Eisenstein maximal ideal of the Hecke algebra, is torsion-free, provided the prime p is large with the respect to the weight of the coefficient system. The proof uses p-adic Hodge theory, the dual BGG complex modulo p in order to compute the Hodge-Tate weights for the mod p cohomology. We apply this result to the construction of Hida p-adic families for symplectic groups and to the first step in the construction of a Taylor-Wiles system for these groups. | |
| dc.description | 116 pages, updated version of preprint of University Paris-Nord 2000-03 | |
| dc.identifier | https://arxiv.org/abs/math/0012090 | |
| dc.identifier | http://arxiv.org/abs/math/0012090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60554 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 11F46, 11G15, 14K22, 14F30 | |
| dc.title | Cohomology of Siegel Varieties with p-adic integral coefficients and Applications | |
| dc.type | text |