Stable pairs, linear systems and the Verlinde formula
| dc.creator | Thaddeus, Michael | |
| dc.date | 1992-10-19 | |
| dc.date.accessioned | 2026-07-07T09:05:46Z | |
| dc.date.available | 2026-07-07T09:05:46Z | |
| dc.description | We study the moduli problem of pairs consisting of a rank 2 vector bundle and a nonzero section over a fixed smooth curve. The stability condition involves a parameter; as it varies, we show that the moduli space undergoes a sequence of flips in the sense of Mori. As applications, we prove several results about moduli spaces of rank 2 bundles, including the Harder-Narasimhan formula and the SU(2) Verlinde formula. Indeed, we prove a general result on the space of sections of powers of the ideal sheaf of a curve in projective space, which includes the Verlinde formula. | |
| dc.description | 40 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9210007 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9210007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149790 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Stable pairs, linear systems and the Verlinde formula | |
| dc.type | text |