Irreducibility of Moduli Spaces of Vector Bundles on Birationally Ruled Surfaces
| dc.creator | Walter, Charles | |
| dc.date | 1993-11-16 | |
| dc.date.accessioned | 2026-07-07T09:05:55Z | |
| dc.date.available | 2026-07-07T09:05:55Z | |
| dc.description | Let $S$ be a birationally ruled surface. We show that the moduli schemes $M_S(r,c_1,c_2)$ of semistable sheaves on $S$ of rank $r$ and Chern classes $c_1$ and $c_2$ are irreducible for all $(r,c_1,c_2)$ provided the polarization of $S$ used satisfies a simple numerical condition. This is accomplished by proving that the stacks of prioritary sheaves on $S$ of fixed rank and Chern classes are smooth and irreducible. | |
| dc.description | 7 pages, LATeX 2.09 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9311005 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9311005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149844 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Irreducibility of Moduli Spaces of Vector Bundles on Birationally Ruled Surfaces | |
| dc.type | text |