On the period map for prime Fano threefolds of degree 10
| dc.creator | Debarre, O. | |
| dc.creator | Iliev, A. | |
| dc.creator | Manivel, L. | |
| dc.date | 2008-12-18 | |
| dc.date.accessioned | 2026-07-07T12:20:48Z | |
| dc.date.available | 2026-07-07T12:20:48Z | |
| dc.description | We prove that the deformations of a smooth complex Fano threefold X with Picard number 1, index 1, and degree 10, are unobstructed. The differential of the period map has two-dimensional kernel. We construct two two-dimensional components of the fiber of the period map through X: one is isomorphic to the variety of conics in X, modulo an involution, another is birationally isomorphic to a moduli space of semistable rank-2 torsion-free sheaves on X, modulo an involution. The threefolds corresponding to points of these components are obtained from X via conic and line (birational) transformations. | |
| dc.identifier | https://arxiv.org/abs/0812.3670 | |
| dc.identifier | http://arxiv.org/abs/0812.3670 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213174 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30; 14J45; 14C34; 14E07; 14J50; 14J60; 14D20; 14K30; 32G20 | |
| dc.title | On the period map for prime Fano threefolds of degree 10 | |
| dc.type | text |