Irreducible symplectic 4-folds numerically equivalent to Hilb^2(K3)
| dc.creator | O'Grady, Kieran G. | |
| dc.date | 2005-04-21 | |
| dc.date | 2005-07-19 | |
| dc.date.accessioned | 2026-07-07T05:19:18Z | |
| dc.date.available | 2026-07-07T05:19:18Z | |
| dc.description | First steps towards a classification of irreducible symplectic 4-folds whose integral 2-cohomology with 4-tuple cup product is isomorphic to that of Hilb^2(K3). We prove that any such 4-fold deforms to an irreducible symplectic 4-fold of Type A or Type B. A 4-fold of Type A is a double cover of a (singular) sextic hypersurface and a 4-fold of Type B is birational to a hypersurface of degree at most 12. We conjecture that 4-folds of Type B do not exist. | |
| dc.description | We eliminated the last section because we have solved (in another paper) the problem that was discussed in that section. We added Propositions (3.7) and (4.8) | |
| dc.identifier | https://arxiv.org/abs/math/0504434 | |
| dc.identifier | http://arxiv.org/abs/math/0504434 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74973 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 14J15 | |
| dc.title | Irreducible symplectic 4-folds numerically equivalent to Hilb^2(K3) | |
| dc.type | text |