Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems
| dc.creator | Heinloth, Jochen | |
| dc.date | 2003-02-18 | |
| dc.date.accessioned | 2026-07-07T04:55:22Z | |
| dc.date.available | 2026-07-07T04:55:22Z | |
| dc.description | The aim of these notes is to generalize Laumon's construction [18] of automorphic sheaves corresponding to local systems on a smooth, projective curve $C$ to the case of local systems with indecomposable unipotent ramification at a finite set of points. To this end we need an extension of the notion of parabolic structure on vector bundles to coherent sheaves. Once we have defined this, a lot of arguments from the article "On the geometric Langlands conjecture" by Frenkel, Gaitsgory and Vilonen [10] carry over to our situation. We show that our sheaves descend to the moduli space of parabolic bundles if the rank is $\leq 3$ and that the general case can be deduced form a generalization of the vanishing conjecture of [10]. | |
| dc.description | 60 pages | |
| dc.identifier | https://arxiv.org/abs/math/0302210 | |
| dc.identifier | http://arxiv.org/abs/math/0302210 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66556 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11R39;14H60 | |
| dc.title | Coherent sheaves with parabolic structure and construction of Hecke eigensheaves for some ramified local systems | |
| dc.type | text |