Some moduli stacks of symplectic bundles on a curve are rational
| dc.creator | Biswas, Indranil | |
| dc.creator | Hoffmann, Norbert | |
| dc.date | 2006-04-08 | |
| dc.date | 2008-09-17 | |
| dc.date.accessioned | 2026-07-07T10:03:20Z | |
| dc.date.available | 2026-07-07T10:03:20Z | |
| dc.description | Let C be a smooth projective curve of genus at least 2 over a field k. Given a line bundle L on C, we consider the moduli stack of rank 2n vector bundles E on C endowed with a nowhere degenerate symplectic form $b: E \otimes E \to L$ up to scalars. We prove that this stack is birational to BG_m times an affine space A^s if n and the degree of L are both odd and C admits a k-rational point as well as a line bundle of degree 0 whose square is nontrivial. It follows that the corresponding coarse moduli scheme is rational in this case. | |
| dc.description | 18 pages. v2: minor changes, following the referee's suggestions. published version | |
| dc.identifier | https://arxiv.org/abs/math/0604183 | |
| dc.identifier | http://arxiv.org/abs/math/0604183 | |
| dc.identifier | Adv. Math. 219, Issue 4 (2008), 1150-1176 | |
| dc.identifier | doi:10.1016/j.aim.2008.06.001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169252 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14A20 | |
| dc.title | Some moduli stacks of symplectic bundles on a curve are rational | |
| dc.type | text |