Projectivity of moment map quotients
| dc.creator | Heinzner, Peter | |
| dc.creator | Migliorini, Luca | |
| dc.date | 1997-12-19 | |
| dc.date.accessioned | 2026-07-07T03:24:37Z | |
| dc.date.available | 2026-07-07T03:24:37Z | |
| dc.description | Let G be a complex reductive group and K a maximal compact subgroup. If X is a smooth projective G-variety, with a fixed (not necessarily integral) K-invariant Kaehler form, then the K-action is Hamiltonian. Let M be the zero fiber of the corresponding moment map. It is well known that the quotient M/K is a complex space in a natural way. We prove that M/K is a projective variety. In particular, it follows that semistability with respect to a moment map is equivalent to semistability in the sense of Mumford. | |
| dc.description | 19 pages, plain-tex | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9712008 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9712008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33400 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Projectivity of moment map quotients | |
| dc.type | text |