Components of the Stack of Torsion-Free Sheaves of Rank 2 on Ruled Surfaces
| dc.creator | Walter, Charles H. | |
| dc.date | 1993-12-20 | |
| dc.date.accessioned | 2026-07-07T09:05:58Z | |
| dc.date.available | 2026-07-07T09:05:58Z | |
| dc.description | Let S be a ruled surface without sections of negative self-intersection. We classify the irreducible components of the moduli stack of torsion-free sheaves of rank 2 sheaves on S. We also classify the irreducible components of the Brill-Noether loci in Hilb^N(P1xP1) given by W_N^0(D)={[X] | h^1(I_X(D)) >= 1 } for D an effective divisor class. Our methods are also applicable to P2 giving new proofs of theorems of Stromme (slightly extended) and Coppo. | |
| dc.description | 16 pages, LATeX 2.09 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9312011 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9312011 | |
| dc.identifier | Math. Ann. 301 (1995), 699-715 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149857 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Components of the Stack of Torsion-Free Sheaves of Rank 2 on Ruled Surfaces | |
| dc.type | text |