Desingularized moduli spaces of sheaves on a K3, II
| dc.creator | O'Grady, Kieran G. | |
| dc.date | 1998-05-22 | |
| dc.date.accessioned | 2026-07-07T05:24:49Z | |
| dc.date.available | 2026-07-07T05:24:49Z | |
| dc.description | In preprint alg-geom/9708009 we have constructed a (ten-dimensional) symplectic desingularization of the moduli space of rank-two torsion-free semistable sheaves on a $K3$, with trivial determinant and second Chern class equal to 4. In the present paper we prove that (every deformation of) this desingularization is a new irreducible symplectic variety. More precisely we show that the desingularization is irreducible symplectic, and that its second Betti number is at least 24. | |
| dc.description | plain tex, 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/9805099 | |
| dc.identifier | http://arxiv.org/abs/math/9805099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76952 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05, 53C25 | |
| dc.title | Desingularized moduli spaces of sheaves on a K3, II | |
| dc.type | text |