Quotients by Reductive Group, Borel Subgroup, Unipotent Group and Maximal Torus
| dc.creator | Hu, Yi | |
| dc.date | 2006-05-01 | |
| dc.date.accessioned | 2026-07-07T07:13:47Z | |
| dc.date.available | 2026-07-07T07:13:47Z | |
| dc.description | Consider an algebraic action of a connected complex reductive algebraic group on a complex polarized projective variety. In this paper, we first introduce the nilpotent quotient, the quotient of the polarized projective variety by a maximal unipotent subgroup. Then, we introduce and investigate three induced actions: one by the reductive group, one by a Borel subgroup, and one by a maximal torus, respectively. Our main result is that there are natural correspondences among quotients of these three actions. In the end, we mention a possible application to the moduli spaces of parabolic bundles over algebraic curves for further research. | |
| dc.description | Dedicated to Robert MacPherson on the occasion of his 60th birthday. MacPherson's special issue, Pure and Applied Mathematics Quarterly (to appear) | |
| dc.identifier | https://arxiv.org/abs/math/0605008 | |
| dc.identifier | http://arxiv.org/abs/math/0605008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112603 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.title | Quotients by Reductive Group, Borel Subgroup, Unipotent Group and Maximal Torus | |
| dc.type | text |