The invariant Quot scheme
| dc.creator | Jansou, Sebastien | |
| dc.date | 2005-11-02 | |
| dc.date.accessioned | 2026-07-07T06:50:40Z | |
| dc.date.available | 2026-07-07T06:50:40Z | |
| dc.description | Given an affine scheme X with an action of a reductive group G and a G-linearized coherent sheaf M, we construct the ``invariant Quot scheme'' that parametrizes the quotients of M whose space of global sections is a direct sum of simple G-modules with fixed finite multiplicities. Then we determine the invariant Quot scheme in a simple situation, where X is the cone of primitive vectors of a simple G-module and M is the free sheaf on X generated by another simple G-module. This invariant Quot scheme has only one point, that is reduced in most of the cases. The only cases where it is not reduced occur when X is the cone of primitive vectors of a quadratic vector space V of odd dimension, under the action of Spin(V). | |
| dc.description | French, 33 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511046 | |
| dc.identifier | http://arxiv.org/abs/math/0511046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104734 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14L30; 20G05 | |
| dc.title | The invariant Quot scheme | |
| dc.type | text |