Infinitesimal Derived Torelli Theorem for K3 surfaces
| dc.creator | Macri, Emanuele | |
| dc.creator | Stellari, Paolo | |
| dc.creator | Mehrotra, Sukhendu | |
| dc.date | 2008-04-16 | |
| dc.date | 2009-03-25 | |
| dc.date.accessioned | 2026-07-07T12:55:53Z | |
| dc.date.available | 2026-07-07T12:55:53Z | |
| dc.description | We prove that the first order deformations of two smooth projective K3 surfaces are derived equivalent under a Fourier--Mukai transform if and only if there exists a special isometry of the total cohomology groups of the surfaces which preserves the Mukai pairing, an infinitesimal weight-2 decomposition and the orientation of a positive 4-dimensional space. This generalizes the derived version of the Torelli Theorem. Along the way we show the compatibility of the actions on Hochschild homology and singular cohomology of any Fourier--Mukai functor. | |
| dc.description | Main paper by E. Macri and P. Stellari. Appendix by S.Mehrotra. 21 pages. Final version to appear in Int. Math. Res. Not | |
| dc.identifier | https://arxiv.org/abs/0804.2552 | |
| dc.identifier | http://arxiv.org/abs/0804.2552 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224401 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Infinitesimal Derived Torelli Theorem for K3 surfaces | |
| dc.type | text |