On the rationality of $SU(r,d)$
| dc.creator | Butler, David C. | |
| dc.date | 1997-05-07 | |
| dc.date | 1997-05-20 | |
| dc.date.accessioned | 2026-07-07T09:01:52Z | |
| dc.date.available | 2026-07-07T09:01:52Z | |
| dc.description | Let SU(r,d) be the moduli space of rank r, degree d vector bundles over a smooth projective curve of genus $g\ge 2$. If (r,d)=1 and d divides r+1, then SU is rational. Furthermore, if $0<δ< r$ and all prime divisors of $δ$ divide r, and if d divides $r-δ$, then SU is rational. The proof is a variation on a result of Newstead and modifications due to Ballico and then Boden and Yokogawa. | |
| dc.description | 24 pages, AMS-TeX, corrected proof of Proposition 3 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9705008 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9705008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148427 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the rationality of $SU(r,d)$ | |
| dc.type | text |