Fano threefolds of genus 6
| dc.creator | Logachev, Dmitry | |
| dc.date | 2004-07-08 | |
| dc.date.accessioned | 2026-07-07T05:10:07Z | |
| dc.date.available | 2026-07-07T05:10:07Z | |
| dc.description | This paper was written in 1982. Ideas and methods of "Clemens C.H., Griffiths Ph. The intermediate Jacobian of a cubic threefold" are applied to a Fano threefold X of genus 6 -- intersection of Grassmann sixfold with two hyperplanes and a quadric. We prove: 1. The Fano surface F(X) of X is smooth and irreducible. Hodge numbers and some other invariants of F(X) are calculated. 2. Tangent bundle theorem for X, and its geometric interpretation. It is shown that F(X) defines X uniquely. 3. The Abel - Jacobi map from the Albanese of F(X) to the middle Jacobian of X is an isogeny. | |
| dc.description | 50 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407147 | |
| dc.identifier | http://arxiv.org/abs/math/0407147 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71828 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30, 14J45 (Primary); 14J25, 14C30, 14K30 (Secondary) | |
| dc.title | Fano threefolds of genus 6 | |
| dc.type | text |