Holomorphic rank-2 vector bundles on non-Kahler elliptic surfaces
| dc.creator | Brinzanescu, Vasile | |
| dc.creator | Moraru, Ruxandra | |
| dc.date | 2003-06-11 | |
| dc.date | 2003-09-02 | |
| dc.date.accessioned | 2026-07-07T04:58:55Z | |
| dc.date.available | 2026-07-07T04:58:55Z | |
| dc.description | The existence problem for vector bundles on a smooth compact complex surface consists in determining which topological complex vector bundles admit holomorphic structures. For projective surfaces, Schwarzenberger proved that a topological complex vector bundle admits a holomorphic (algebraic) structure if and only if its first Chern class belongs to the Neron-Severi group of the surface. In contrast, for non-projective surfaces there is only a necessary condition for the existence problem (the discriminant of the vector bundles must be positive) and the difficulty of the problem resides in the lack of a general method for constructing non-filtrable vector bundles. In this paper, we close the existence problem in the rank-2 case, by giving necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-K\" ahler elliptic surfaces. | |
| dc.description | 15 pages, shortened version, corrections were made | |
| dc.identifier | https://arxiv.org/abs/math/0306191 | |
| dc.identifier | http://arxiv.org/abs/math/0306191 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67775 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 14J60; 14D22, 14F05, 14J27, 32J15 | |
| dc.title | Holomorphic rank-2 vector bundles on non-Kahler elliptic surfaces | |
| dc.type | text |