Local rigidity of quasi-regular varieties
| dc.creator | Pasquier, Boris | |
| dc.creator | Perrin, Nicolas | |
| dc.date | 2008-07-15 | |
| dc.date.accessioned | 2026-07-07T09:50:26Z | |
| dc.date.available | 2026-07-07T09:50:26Z | |
| dc.description | For a $G$-variety $X$ with an open orbit, we define its boundary $\partial X$ as the complement of the open orbit. The action sheaf $S_X$ is the subsheaf of the tangent sheaf made of vector fields tangent to $\partial X$. We prove, for a large family of smooth spherical varieties, the vanishing of the cohomology groups $H^i(X,S_X)$ for $i>0$, extending results of F. Bien and M. Brion. We apply these results to study the local rigidity of the smooth projective varieties with Picard number one classified in a previous paper of the first author. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0807.2327 | |
| dc.identifier | http://arxiv.org/abs/0807.2327 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164943 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L30; 14M17; 14B12; 14F10 | |
| dc.title | Local rigidity of quasi-regular varieties | |
| dc.type | text |