The Sp3-grassmannian and duality for prime Fano threefolds of genus 9
| dc.creator | Iliev, Atanas | |
| dc.date | 2002-09-16 | |
| dc.date | 2002-11-03 | |
| dc.date.accessioned | 2026-07-07T04:50:54Z | |
| dc.date.available | 2026-07-07T04:50:54Z | |
| dc.description | By a result of Mukai, the non-abelian Brill-Noether locus X = M_C(2,K:3F) of type II, defined by a stable rank 2 vector bundle F of invariant 3 over a plane quartic curve C, is a prime Fano 3-fold X of degree 16. The associate ruled surface S^X = P(F) is uniquely defined by X, and we see that for the general X = X_{16}, S^X is isomorphic to the Fano surface of conics on X. The argument uses the geometry of the Sp_3-grassmannian and the double projection from a line on X_{16}. | |
| dc.description | 20 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0209197 | |
| dc.identifier | http://arxiv.org/abs/math/0209197 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64961 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Sp3-grassmannian and duality for prime Fano threefolds of genus 9 | |
| dc.type | text |