Trigonal curves and Galois Spin(8)-bundles
| dc.creator | Oxbury, W. M. | |
| dc.creator | Ramanan, S. | |
| dc.date | 1999-07-19 | |
| dc.date.accessioned | 2026-07-07T05:29:57Z | |
| dc.date.available | 2026-07-07T05:29:57Z | |
| dc.description | Let SU_C(2) denote the moduli variety of rank 2 semistable vector bundles with trivial determinant on an algebraic curve C. We prove that if C is trigonal then there exists a projective moduli variety N_C containing SU_C(2) as a subvariety and smooth of dimension 7g-14 away from SU_C(2). N_C parametrises Galois Spin(8)-bundles on the Galois closure of C over P^1. Moreover, if x in J_C[2] is a 2-torsion point let R(x) be the Recillas tetragonal curve whose Jacobian is isomorphic to Prym(C,x). Then there is an injection of SU_R(x)(2) into N_C giving a `nonabelian Schottky configuration' in N_C singular along the classical Schottky configuration in SU_C(2). | |
| dc.description | LaTeX2e, 39 pages with 6 figures | |
| dc.identifier | https://arxiv.org/abs/math/9907114 | |
| dc.identifier | http://arxiv.org/abs/math/9907114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78840 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20 | |
| dc.title | Trigonal curves and Galois Spin(8)-bundles | |
| dc.type | text |