Moduli spaces of principal F-bundles
| dc.creator | Varshavsky, Yakov | |
| dc.date | 2002-05-13 | |
| dc.date | 2004-08-31 | |
| dc.date.accessioned | 2026-07-07T04:48:27Z | |
| dc.date.available | 2026-07-07T04:48:27Z | |
| dc.description | In this paper we construct certain moduli spaces, which we call moduli spaces of (principal) $F$-bundles, and study their basic properties. These spaces are associated to triples consisting of a smooth projective geometrically connected curve over a finite field, a split reductive group $G$, and an irreducible algebraic representation $\ov{\om}$ of $(\check{G})^n/Z(\check{G})$. Our spaces generalize moduli spaces of $F$-sheaves, studied by Drinfeld and Lafforgue, which correspond to the case $G=GL_r$ and $\ov{\om}$ is the tensor product of the standard representation and its dual. The importance of the moduli spaces of $F$-bundles is due to the belief that Langlands correspondence should be realized in their cohomology. | |
| dc.description | 37 pages, revised version | |
| dc.identifier | https://arxiv.org/abs/math/0205130 | |
| dc.identifier | http://arxiv.org/abs/math/0205130 | |
| dc.identifier | Sel. Math., New ser. 10 (2004) 131-166 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64051 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14G35, 14H60,11F70 | |
| dc.title | Moduli spaces of principal F-bundles | |
| dc.type | text |