Hodge numbers of moduli spaces of stable bundles on K3 surfaces
| dc.creator | Goettsche, Lothar | |
| dc.creator | Huybrechts, Daniel | |
| dc.date | 1994-08-04 | |
| dc.date.accessioned | 2026-07-07T09:06:08Z | |
| dc.date.available | 2026-07-07T09:06:08Z | |
| dc.description | We show that the Hodge numbers of the moduli space of stable rank two sheaves with primitive determinant on a K3 surface coincide with the Hodge numbers of an appropriate Hilbert scheme of points on the K3 surface. The precise result is: Theorem: Let $X$ be a K3 surface, $L$ a primitive big and nef line bundle and $H$ a generic polarization. If the moduli space of rank two $H$ semi-stable torsion-free sheaves with determiant $L$ and second Chern class $c_2$ has at least dimension 10 then its Hodge numbers coincide with those of the Hilbert scheme of $l:=2c_2-\frac{L^2}{2}-3$ points on $X$. | |
| dc.description | 12 pages, latex | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9408001 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9408001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149910 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Hodge numbers of moduli spaces of stable bundles on K3 surfaces | |
| dc.type | text |