The main component of the toric Hilbert scheme
| dc.creator | Chuvashova, O. V. | |
| dc.date | 2006-03-30 | |
| dc.date | 2008-02-24 | |
| dc.date.accessioned | 2026-07-07T09:22:49Z | |
| dc.date.available | 2026-07-07T09:22:49Z | |
| dc.description | Let \X be an affine toric variety under a torus \T and let T be a subtorus. The general T-orbit closures in \X and their flat limits are parametrized by the main component H_0 of the toric Hilbert scheme. Further, the quotient torus \T/T acts on H_0 with a dense orbit. We describe the fan of this toric variety; this leads us to an integral analogue of the fiber polytope of Billera and Sturmfels. We also describe the relation of H_0 to the main component of the inverse limit of GIT quotients of \X by T. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603703 | |
| dc.identifier | http://arxiv.org/abs/math/0603703 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155512 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14C05 (Primary); 52B20, 14M25 (Secondary) | |
| dc.title | The main component of the toric Hilbert scheme | |
| dc.type | text |