Non-Fine Moduli Spaces of Sheaves on K3 Surfaces
| dc.creator | Caldararu, Andrei | |
| dc.date | 2001-08-27 | |
| dc.date.accessioned | 2026-07-07T04:43:08Z | |
| dc.date.available | 2026-07-07T04:43:08Z | |
| dc.description | In general, if M is a moduli space of stable sheaves on X, there is a unique alpha in the Brauer group of M such that a pi_M^* alpha^{-1}-twisted universal sheaf exists on X times M. In this paper we study the situation when X and M are K3 surfaces, and we identify alpha in terms of Mukai's map between the cohomology of X and of M (defined by means of a quasi-universal sheaf). We prove that the derived category of sheaves on X and the derived category of alpha-twisted sheaves on M are equivalent. This suggests a conjecture which describes, in terms of Hodge isometries of lattices, when derived categories of twisted sheaves on two K3 surfaces are equivalent. If proven true, this conjecture would generalize a theorem of Orlov and a recent result of Donagi-Pantev. | |
| dc.description | 22 pages, LaTeX 2e | |
| dc.identifier | https://arxiv.org/abs/math/0108180 | |
| dc.identifier | http://arxiv.org/abs/math/0108180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62085 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60 (primary), 14F22, 14J28, 14F05 (secondary) | |
| dc.title | Non-Fine Moduli Spaces of Sheaves on K3 Surfaces | |
| dc.type | text |