Restriction theorems for homogeneous bundles
| dc.creator | Mehta, V. B. | |
| dc.creator | Trivedi, V. | |
| dc.date | 2004-11-29 | |
| dc.date | 2005-03-30 | |
| dc.date.accessioned | 2026-07-07T05:14:47Z | |
| dc.date.available | 2026-07-07T05:14:47Z | |
| dc.description | We prove that for an irreducible representation $τ:GL(n)\to GL(W)$, the associated homogeneous ${\bf P}_k^n$-vector bundle $W_τ$ is strongly semistable when restricted to any smooth quadric or to any smooth cubic in ${\bf P}_k^n$, where $k$ is an algebraically closed field of characteristic $\neq 2,3$ respectively. In particular $W_τ$ is semistable when restricted to general hypersurfaces of degree $\geq 2$ and is strongly semistable when restricted to the $k$-generic hypersurface of degree $\geq 2$. | |
| dc.description | Revised version contains a stronger result:strong semistability is proved for restrictions to generic hypersurfaces of arbitrary degree >1, instead of generic hypersurfaces of even degree | |
| dc.identifier | https://arxiv.org/abs/math/0411629 | |
| dc.identifier | http://arxiv.org/abs/math/0411629 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73412 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14L30 | |
| dc.title | Restriction theorems for homogeneous bundles | |
| dc.type | text |