Spectral Covers
| dc.creator | Donagi, Ron | |
| dc.date | 1995-05-07 | |
| dc.date.accessioned | 2026-07-07T09:06:29Z | |
| dc.date.available | 2026-07-07T09:06:29Z | |
| dc.description | This is a survey of various results about spectral covers and their relationship to Higgs bundles. To a G-principal Higgs bundle on a variety S corresponds a cameral cover \widetilde{S} of S (a W-Galois cover, where W is the Weyl group of G) together with a sheaf on \widetilde{S} which in simple cases is a line bundle, and is W-equivariant up to certain twists and shifts. Various other types of spectral covers, depending on the choice of a representation or weight of G, arise as associated objects of \widetilde{S}. We focus on the decomposition of the Picards of these spectral covers into Pryms (this includes various well-known Prym identities as special cases) and on the interpretation, in the spirit of Hitchin's abelianization program, of a distinguished Prym component as parameter space for higgs bundles. | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9505009 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9505009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150025 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Spectral Covers | |
| dc.type | text |