Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces
| dc.creator | Arcara, Daniele | |
| dc.creator | Bertram, Aaron | |
| dc.creator | Lieblich, Max | |
| dc.date | 2007-08-16 | |
| dc.date.accessioned | 2026-07-07T08:23:57Z | |
| dc.date.available | 2026-07-07T08:23:57Z | |
| dc.description | We give a natural family of Bridgeland stability conditions on the derived category of a smooth projective complex surface S and describe ``wall-crossing behavior'' for objects with the same invariants as $\cO_C(H)$ when H generates Pic(S) and $C \in |H|$. If, in addition, S is a K3 or Abelian surface, we use this description to construct a sequence of fine moduli spaces of Bridgeland-stable objects via Mukai flops and generalized elementary modifications of the universal coherent sheaf. We also discover a natural generalization of Thaddeus' stable pairs for curves embedded in the moduli spaces. | |
| dc.description | 33 pages, with appendix by Max Lieblich | |
| dc.identifier | https://arxiv.org/abs/0708.2247 | |
| dc.identifier | http://arxiv.org/abs/0708.2247 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136180 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces | |
| dc.type | text |