Courbes elliptiques sur la variete spinorielle
| dc.creator | Perrin, Nicolas | |
| dc.date | 2006-07-11 | |
| dc.date.accessioned | 2026-07-07T07:18:15Z | |
| dc.date.available | 2026-07-07T07:18:15Z | |
| dc.description | Let V be an even dimensional vector space with a non degenerate quadratic form. We denote by X the variety of maximal isotropic subspaces in V (in fact one of its two connected components). In this paper, we prove the irreducibility of the scheme of degree d morphism f:C->X as soon as d is bigger than 1/2dim(V)-1. When dim(V)=10 and d=6, this result was used by A. Iliev and D. Markushevich in math.AG/0403122 to prove the irreducibility of the moduli space M_{X_12}(2,1,6) where X_{12} is the Fano threefold of index 1 and degree 12. | |
| dc.description | 12 pages in french, 1 figure. This a generalisation to higher dimension of the results of the paper math.AG/0409125 | |
| dc.identifier | https://arxiv.org/abs/math/0607260 | |
| dc.identifier | http://arxiv.org/abs/math/0607260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114231 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Courbes elliptiques sur la variete spinorielle | |
| dc.type | text |