GIT-equivalence beyond the ample cone
| dc.creator | Berchtold, Florian | |
| dc.creator | Hausen, Juergen | |
| dc.date | 2005-03-05 | |
| dc.date | 2006-05-30 | |
| dc.date.accessioned | 2026-07-07T06:39:31Z | |
| dc.date.available | 2026-07-07T06:39:31Z | |
| dc.description | Given an algebraic torus action on a normal projective variety with finitely generated total coordinate ring, we study the GIT-equivalence for not necessarily ample linearized divisors, and we provide a combinatorial description of the partially ordered set of GIT-equivalence classes. As an application, we extend in the $\QQ$-factorial case a basic feature of the collection of ample GIT-classes to the partially ordered collection of maximal subsets with a quasiprojective quotient: for any two members there is at most one minimal member comprising both of them. Moreover, we demonstrate in an example, how our theory can be applied for a systematic treatment of ``exotic projective orbit spaces'', i.e., projective geometric quotients that do not arise from any linearized ample divisor. | |
| dc.description | 30 pages, minor corrections, to appear in Michigan Math. J | |
| dc.identifier | https://arxiv.org/abs/math/0503107 | |
| dc.identifier | http://arxiv.org/abs/math/0503107 | |
| dc.identifier | Michigan. Math. J., Vol. 54, No. 3, 483-516 (2006) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101109 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14L30 | |
| dc.title | GIT-equivalence beyond the ample cone | |
| dc.type | text |