A note on Fourier-Mukai transform
| dc.creator | Yoshioka, Kota | |
| dc.date | 2001-12-24 | |
| dc.date | 2002-09-20 | |
| dc.date.accessioned | 2026-07-07T04:45:29Z | |
| dc.date.available | 2026-07-07T04:45:29Z | |
| dc.description | In this note, we consider the problem on the preservation of stability under the Fourier-Mukai transforms. We first show that the Fourier-Mukai transform on an abelian surface or a K3 surface does not always preserve the stability, even for a $μ$-stable vector bundle. We next provide some positive results on this problem. Finally we discuss the birational map of moduli spaces on an abelian surface. | |
| dc.description | 19 pages, some results added | |
| dc.identifier | https://arxiv.org/abs/math/0112267 | |
| dc.identifier | http://arxiv.org/abs/math/0112267 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62973 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D20 | |
| dc.title | A note on Fourier-Mukai transform | |
| dc.type | text |