Sur l'homologie des fibres de Springer affines tronquées
| dc.creator | Chaudouard, Pierre-Henri | |
| dc.creator | Laumon, Gérard | |
| dc.date | 2007-02-20 | |
| dc.date.accessioned | 2026-07-07T07:47:50Z | |
| dc.date.available | 2026-07-07T07:47:50Z | |
| dc.description | Following Goresky, Kottwitz and MacPherson, we compute the homology of truncated affine Springer fibers in the unramified case but under a purity assumption. We prove this assumption in the equivalued case. The truncation parameter is viewed as a divisor on an l-adic toric variety. For each fiber, we introduce a graded quasi-coherent sheaf on the toric variety whose space of global sections is precisely the l-adic homology of the truncated affine Springer fiber. Moreover, for some families of endoscopic groups, these sheaves show up in an exact sequence. As a consequence we prove Arthur's weighted fundamental lemma in the unramified equivalued case. | |
| dc.description | 77 pages | |
| dc.identifier | https://arxiv.org/abs/math/0702586 | |
| dc.identifier | http://arxiv.org/abs/math/0702586 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124299 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14F20, 14F63, 22E67, 11F70 | |
| dc.title | Sur l'homologie des fibres de Springer affines tronquées | |
| dc.type | text |