Twisted Fourier-Mukai transforms and bundles on non-Kahler elliptic surfaces
| dc.creator | Brinzanescu, Vasile | |
| dc.creator | Moraru, Ruxandra | |
| dc.date | 2003-09-02 | |
| dc.date.accessioned | 2026-07-07T05:00:45Z | |
| dc.date.available | 2026-07-07T05:00:45Z | |
| dc.description | In this paper, we study holomorphic rank-2 vector bundles on non-K\" ahler elliptic surfaces. Our main tool for analysing these bundles is of course the spectral cover. However, given the non-Kähler condition, the elliptic surfaces we are considering do not have sections and gerbes naturally arise in this context. The spectral construction presented in this paper is a modification of the Fourier-Mukai transform for elliptic fibrations without a section. After examining some of the properties of this Fourier-Mukai transform, we give a complete classification of vector bundles on these surfaces. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0309031 | |
| dc.identifier | http://arxiv.org/abs/math/0309031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68438 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 14J60; 14D22, 14F05, 14J27, 32J15 | |
| dc.title | Twisted Fourier-Mukai transforms and bundles on non-Kahler elliptic surfaces | |
| dc.type | text |