Topology of Kempf-Ness sets for algebraic torus actions
| dc.creator | Panov, Taras | |
| dc.date | 2006-03-23 | |
| dc.date | 2008-10-08 | |
| dc.date.accessioned | 2026-07-07T10:08:18Z | |
| dc.date.available | 2026-07-07T10:08:18Z | |
| dc.description | In the theory of algebraic group actions on affine varieties, the concept of a Kempf-Ness set is used to replace the categorical quotient by the quotient with respect to a maximal compact subgroup. By making use of the recent achievements of "toric topology" we show that an appropriate notion of a Kempf-Ness set exists for a class of algebraic torus actions on quasiaffine varieties (coordinate subspace arrangement complements) arising in the Batyrev-Cox "geometric invariant theory" approach to toric varieties. We proceed by studying the cohomology of these "toric" Kempf-Ness sets. In the case of projective non-singular toric varieties the Kempf-Ness sets can be described as complete intersections of real quadrics in a complex space. | |
| dc.description | 15 pages, LaTeX2e; minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0603556 | |
| dc.identifier | http://arxiv.org/abs/math/0603556 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170946 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 14L30; 14M25; 57S25 | |
| dc.title | Topology of Kempf-Ness sets for algebraic torus actions | |
| dc.type | text |