Mumford-Thaddeus Principle on the Moduli Space of Vector Bundles on an Algebraic Surface
| dc.creator | Matsuki, K. | |
| dc.creator | Wentworth, R. | |
| dc.date | 1994-10-15 | |
| dc.date.accessioned | 2026-07-07T09:06:14Z | |
| dc.date.available | 2026-07-07T09:06:14Z | |
| dc.description | We study the behavior of the Gieseker space of semistable torsion-free sheaves of rank r and fixed c_1, c_2 on a non-singular projective surface as the polarization varies. It is shown that the ample cone admits a locally finite chamber structure, and that passing a wall adjacent to a pair of chambers has the effect of modifying the moduli space by a (finite) sequence of flips of the type studied by Thaddeus. The key steps are a modification of Simpson's method and the introduction of a "rationally twisted" moduli space. The result is more general but less explicit than the recent work of Ellingsrud-Goettsche (alg-geom/9410005) and Friedman-Qin (alg-geom/9410007). | |
| dc.description | 61 pages, amstex | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9410016 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9410016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149936 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Mumford-Thaddeus Principle on the Moduli Space of Vector Bundles on an Algebraic Surface | |
| dc.type | text |