Counter-example to global Torelli problem for irreducible symplectic manifolds
| dc.creator | Namikawa, Yoshinori | |
| dc.date | 2001-10-11 | |
| dc.date | 2002-08-05 | |
| dc.date.accessioned | 2026-07-07T04:43:46Z | |
| dc.date.available | 2026-07-07T04:43:46Z | |
| dc.description | We shall give an example of irreducible symplectic manifolds X and Y which are not bimeromorphic, but have the same periods in the second cohomologies. More explicitly, X and Y are generalized Kummer varieties of dim 4 for a general complex torus T of dim 2 and its dual torus T^*. A key result is an observation of Shioda for the periods of T and T^*. As a concluding remark, we shall discuss the difference between our case and Kummer surfaces. | |
| dc.description | The main part does not change. But Remark 3 is not correct (Erratum is added at the end of the paper) | |
| dc.identifier | https://arxiv.org/abs/math/0110114 | |
| dc.identifier | http://arxiv.org/abs/math/0110114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62367 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Counter-example to global Torelli problem for irreducible symplectic manifolds | |
| dc.type | text |