Canonical symplectic structures and deformations of algebraic surfaces
| dc.creator | Catanese, Fabrizio | |
| dc.date | 2006-08-04 | |
| dc.date | 2007-05-15 | |
| dc.date.accessioned | 2026-07-07T08:01:32Z | |
| dc.date.available | 2026-07-07T08:01:32Z | |
| dc.description | We show that a minimal surface of general type has a canonical symplectic structure (unique up to symplectomorphism) which is invariant for smooth deformation. We show that the symplectomorphism type is also invariant for deformations which allow certain normal singularities, provided one remains in the same smoothing component. We use this technique to show that the Manetti surfaces yield examples of surfaces of general type which are not deformation equivalent but are canonically symplectomorphic. | |
| dc.description | 13 pages, one figure. Some theorems are slightly reformulated, the introduction has been changed and is more informative, a picture has been added to make the idea of proof more easily understandable | |
| dc.identifier | https://arxiv.org/abs/math/0608110 | |
| dc.identifier | http://arxiv.org/abs/math/0608110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128939 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 14J10, 14J15,14J29,14J17,53D05 | |
| dc.title | Canonical symplectic structures and deformations of algebraic surfaces | |
| dc.type | text |