On deformations of Q-factorial symplectic varieties
| dc.creator | Namikawa, Yoshinori | |
| dc.date | 2005-06-27 | |
| dc.date | 2005-09-09 | |
| dc.date.accessioned | 2026-07-07T05:21:10Z | |
| dc.date.available | 2026-07-07T05:21:10Z | |
| dc.description | We shall prove that any small deformation of a Q-factorial projective symplectic variety with terminal singularities is locally rigid; in other words, it preserves the singularity. In particular, many singular symplectic moduli of semi-stable sheaves on K3 have no smoothings via deformations. As an application of the result, we also prove that the smootheness is preserved under a flop in our symplectic case. We conjecture that a projective symplectic variety has a smoothing by a flat deformation if and only if it has a crepant (symplectic) resolution. This conjecture would be true if the minimal model conjecture were true. | |
| dc.description | Some details and explanations are added. To appear in Crelle | |
| dc.identifier | https://arxiv.org/abs/math/0506534 | |
| dc.identifier | http://arxiv.org/abs/math/0506534 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75591 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14, 32 | |
| dc.title | On deformations of Q-factorial symplectic varieties | |
| dc.type | text |