A parametrization of the theta divisor of the quartic double solid
| dc.creator | Markushevich, D. | |
| dc.creator | Tikhomirov, A. S. | |
| dc.date | 2002-12-10 | |
| dc.date | 2008-06-19 | |
| dc.date.accessioned | 2026-07-07T09:45:24Z | |
| dc.date.available | 2026-07-07T09:45:24Z | |
| dc.description | Let M(2;0,3) be the moduli space of rank-2 stable vector bundles with Chern classes c_1=0, c_2=3 on the Fano threefold X, the double solid of index two. We prove that the vector bundles obtained by Serre's construction from smooth elliptic quintic curves on X form an open part of an irreducible component M' of M(2;0,3) and that the Abel-Jacobi map F:M'-->J(X) into the intermediate Jacobian J(X) defined by the second Chern class is generically finite of degree 84 onto a translate of the theta divisor. We also prove that the family of elliptic quintics on a general X is irreducible and of dimension 10. | |
| dc.description | 23 pages; final version as published | |
| dc.identifier | https://arxiv.org/abs/math/0212148 | |
| dc.identifier | http://arxiv.org/abs/math/0212148 | |
| dc.identifier | Int. Math. Res. Not. 2003, No. 51, 2747-2778 (2003) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163184 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30 | |
| dc.title | A parametrization of the theta divisor of the quartic double solid | |
| dc.type | text |