Orthogonal bundles on curves and theta functions
| dc.creator | Beauville, Arnaud | |
| dc.date | 2005-04-22 | |
| dc.date.accessioned | 2026-07-07T05:19:20Z | |
| dc.date.available | 2026-07-07T05:19:20Z | |
| dc.description | Let M be the moduli space of SO(r)-bundles on a curve, and L the determinant bundle on M. We define an isomorphism of H^0(M,L) onto the dual of the space of r-th order theta functions on the Jacobian of C. This isomorphism identifies the map M -->|L|* defined by the linear system |L| with the map M -->|r Theta| which associates to a quadratic bundle (E,q) the Theta divisor of the vector bundle E . The two components M+ and M- of M are mapped into the subspaces of even and odd theta functions respectively. Finally we discuss the analogous question for Sp(2r)-bundles. | |
| dc.identifier | https://arxiv.org/abs/math/0504449 | |
| dc.identifier | http://arxiv.org/abs/math/0504449 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74984 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Orthogonal bundles on curves and theta functions | |
| dc.type | text |