Parametrization of Sing(Theta) for a Fano 3-fold of genus 7 by moduli of vector bundles
| dc.creator | Iliev, Atanas | |
| dc.creator | Markushevich, Dimitri | |
| dc.date | 2004-03-07 | |
| dc.date | 2007-03-06 | |
| dc.date.accessioned | 2026-07-07T09:45:24Z | |
| dc.date.available | 2026-07-07T09:45:24Z | |
| dc.description | According to Mukai, any prime Fano threefold X of genus 7 is a linear section of the spinor tenfold in the projectivized half-spinor space of Spin(10). The orthogonal linear section of the spinor tenfold is a canonical genus-7 curve G, and the intermediate Jacobian J(X) is isomorphic to the Jacobian of G. It is proven that, for a generic X, the Abel-Jacobi map of the family of elliptic sextics on X factors through the moduli space of rank-2 vector bundles with c_1=-K_X and deg c_2=6 and that the latter is birational to the singular locus of the theta divisor of J(X). | |
| dc.description | Final version; minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0403122 | |
| dc.identifier | http://arxiv.org/abs/math/0403122 | |
| dc.identifier | Asian J. Math. 11, No. 3, 427-458 (2007) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163185 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30 | |
| dc.title | Parametrization of Sing(Theta) for a Fano 3-fold of genus 7 by moduli of vector bundles | |
| dc.type | text |