The gerbe of Higgs bundles
| dc.creator | Donagi, R. | |
| dc.creator | Gaitsgory, D. | |
| dc.date | 2000-05-13 | |
| dc.date | 2002-04-04 | |
| dc.date.accessioned | 2026-07-07T06:29:05Z | |
| dc.date.available | 2026-07-07T06:29:05Z | |
| dc.description | The purpose of this work is to describe the (category of) Higgs bundles on a complex scheme X having a given cameral cover X~. We show that this category is a T_{X~}-gerbe, where T_{X~} is a certain sheaf of abelian groups on X, and we describe the class of this gerbe precisely. In particular, it follows that the set of isomorphism classes of Higgs bundles with a fixed cameral cover X~ is a torsor over the group H^1(X, T_{X~}), which itself parametrizes T_{X~}-torsors on X. This underlying group can be described as a generalized Prym variety, whose connected component is either an abelian variety or a degeneration thereof. | |
| dc.description | 47 pages; two added sections contain applications to Higgs bundles with values and to bundles on elliptic fibrations | |
| dc.identifier | https://arxiv.org/abs/math/0005132 | |
| dc.identifier | http://arxiv.org/abs/math/0005132 | |
| dc.identifier | Transform. Groups 7 (2002) 109-153 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97911 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The gerbe of Higgs bundles | |
| dc.type | text |