New symplectic V-manifolds of dimension four via the relative compactified Prymian
| dc.creator | Markushevich, D. | |
| dc.creator | Tikhomirov, A. S. | |
| dc.date | 2007-03-06 | |
| dc.date.accessioned | 2026-07-07T09:45:26Z | |
| dc.date.available | 2026-07-07T09:45:26Z | |
| dc.description | Three new examples of 4-dimensional irreducible symplectic V-manifolds are constructed. Two of them are relative compactified Prymians of a family of genus-3 curves with involution, and the third one is obtained from a Prymian by Mukai's flop. They have the same singularities as two of Fujiki's examples, namely, 28 isolated singular points analytically equivalent to the Veronese cone of degree 8, but a different Euler number. The family of curves used in this construction forms a linear system on a K3 surface with involution. The structure morphism of both Prymians to the base of the family is a Lagrangian fibration in abelian surfaces with polarization of type (1,2). No example of such fibration is known on nonsingular irreducible symplectic varieties. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703168 | |
| dc.identifier | http://arxiv.org/abs/math/0703168 | |
| dc.identifier | Int. J. Math. 18, No. 10, 1187-1224 (2007) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163192 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30 | |
| dc.title | New symplectic V-manifolds of dimension four via the relative compactified Prymian | |
| dc.type | text |