Geometric Invariant Theory via Cox Rings
| dc.creator | Arzhantsev, Ivan V. | |
| dc.creator | Hausen, Juergen | |
| dc.date | 2007-06-29 | |
| dc.date | 2008-06-13 | |
| dc.date.accessioned | 2026-07-07T12:19:51Z | |
| dc.date.available | 2026-07-07T12:19:51Z | |
| dc.description | We consider actions of reductive groups on a varieties with finitely generated Cox ring, e.g., the classical case of a diagonal action on a product of projective spaces. Given such an action, we construct via combinatorial data in the Cox ring all maximal open subsets such that the quotient is quasiprojective or embeddable into a toric variety. As applications, we obtain an explicit description of the chamber structure of the linearized ample cone and several Gelfand-MacPherson type correspondences relating quotients of reductive groups to quotients of torus actions. Moreover, our approach provides information on the geometry of many of the resulting quotient spaces. | |
| dc.description | 27 pages, minor changes, Example 8.8 replaced, to appear in Journal of Pure and Applied Algebra | |
| dc.identifier | https://arxiv.org/abs/0706.4353 | |
| dc.identifier | http://arxiv.org/abs/0706.4353 | |
| dc.identifier | J. Pure Appl. Algebra 213, 154-172 (2009) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212904 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L24, 14L30, 14C20 | |
| dc.title | Geometric Invariant Theory via Cox Rings | |
| dc.type | text |