Remarks on derived equivalences of Ricci-flat manifolds
| dc.creator | Huybrechts, Daniel | |
| dc.creator | Nieper-Wisskirchen, Marc | |
| dc.date | 2008-01-30 | |
| dc.date.accessioned | 2026-07-07T08:57:20Z | |
| dc.date.available | 2026-07-07T08:57:20Z | |
| dc.description | We present results indicating that the decomposition of a Ricci-flat manifold in its irreducible factors is reflected by the derived category of coherent sheaves. More precisely, we prove that a smooth projective variety that is derived equivalent to an abelian variety resp. an irreducible symplectic variety is of the same type. The paper also contains a proof of a conjecure of Caldararu for manifolds with trivial canonical bundle saying that the modified HKR isomorphism for Hochschild homology is compatible with the module structure. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0801.4747 | |
| dc.identifier | http://arxiv.org/abs/0801.4747 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146929 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J32; 18E30 | |
| dc.title | Remarks on derived equivalences of Ricci-flat manifolds | |
| dc.type | text |