Geometric invariant theory and flips
| dc.creator | Thaddeus, Michael | |
| dc.date | 1994-05-10 | |
| dc.date.accessioned | 2026-07-07T09:06:04Z | |
| dc.date.available | 2026-07-07T09:06:04Z | |
| dc.description | We study the dependence of geometric invariant theory quotients on the choice of a linearization. We show that, in good cases, two such quotients are related by a flip in the sense of Mori, and explain the relationship with the minimal model programme. Moreover, we express the flip as the blow-up and blow-down of specific ideal sheaves, leading, under certain hypotheses, to a quite explicit description of the flip. We apply these ideas to various familiar moduli problems, recovering results of Kirwan, Boden-Hu, Bertram-Daskalopoulos- Wentworth, and the author. Along the way we display a chamber structure, following Duistermaat-Heckman, on the space of all linearizations. We also give a new, easy proof of the Bialynicki-Birula decomposition theorem. | |
| dc.description | 33 pages, LaTeX with AMS fonts | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9405004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9405004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149890 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Geometric invariant theory and flips | |
| dc.type | text |