Hecke Correspondence, Stable Maps and the Kirwan Desingularization
| dc.creator | Kiem, Young-Hoon | |
| dc.date | 2005-12-01 | |
| dc.date.accessioned | 2026-07-07T06:54:43Z | |
| dc.date.available | 2026-07-07T06:54:43Z | |
| dc.description | We prove that the moduli space of stable maps of degree 2 to the moduli space of rank 2 stable bundles of fixed determinant O(-x) over a smooth projective curve of genus g>2 has two irre- ducible components which intersect transversely. One of them is Kir- wan's partial desingularization of the moduli space of rank 2 semistable bundles with determinant isomorphic to O(y-x) for some y in X. The other component is the partial desingularization of PHom(sl(2)^*;W)//PGL(2) for a vector bundle W of rank g over the Jacobian of X. We also show that the Hilbert scheme H, the Chow scheme C of conics in N and the moduli space of stable maps of degree 2 are related by explicit contractions. | |
| dc.identifier | https://arxiv.org/abs/math/0512005 | |
| dc.identifier | http://arxiv.org/abs/math/0512005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106040 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Hecke Correspondence, Stable Maps and the Kirwan Desingularization | |
| dc.type | text |