Rationality of moduli of vector bundles on curves
| dc.creator | King, A. D. | |
| dc.creator | Schofield, A. H. | |
| dc.date | 1999-07-12 | |
| dc.date.accessioned | 2026-07-07T05:29:52Z | |
| dc.date.available | 2026-07-07T05:29:52Z | |
| dc.description | The moduli space M(r,d) of stable, rank r, degree d vector bundles on a smooth projective curve of genus g>1 is shown to be birational to M(h,0) x A, where h=hcf(r,d) and A is affine space of dimension (r^2-h^2)(g-1). The birational isomorphism is compatible with fixing determinants in M(r,d) and M(h,0) and we obtain as a corollary that the moduli space of bundles of rank r and fixed determinant of degree d is rational, when r and d are coprime. A key ingredient in the proof is the use of a naturally defined Brauer class for the function field of M(r,d). | |
| dc.description | 21 pages, Latex2e (with AMS packages) | |
| dc.identifier | https://arxiv.org/abs/math/9907068 | |
| dc.identifier | http://arxiv.org/abs/math/9907068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78806 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Rationality of moduli of vector bundles on curves | |
| dc.type | text |