On surfaces of class VII_0^+ with numerically anticanonical divisor
| dc.creator | Dloussky, G. | |
| dc.date | 2004-06-19 | |
| dc.date | 2005-04-13 | |
| dc.date.accessioned | 2026-07-07T05:09:24Z | |
| dc.date.available | 2026-07-07T05:09:24Z | |
| dc.description | We consider minimal compact complex surfaces S with Betti numbers b_1=1 and n=b_2>0. A theorem of Donaldson gives n exceptional line bundles. We prove that if in a deformation, these line bundles have sections, S is a degeneration of blown-up Hopf surfaces. Besides, if there exists an integer m>0 and a flat line bundle F such that -mK\otimes F has nontrivial sections, then S contains a Global Spherical Shell. We apply this last result to complete classification of bihermitian surfaces. | |
| dc.description | 31 pages, revised version, statement of thm 3.44 corrected, proof not changed. Accepted in Am. J. of Math | |
| dc.identifier | https://arxiv.org/abs/math/0406387 | |
| dc.identifier | http://arxiv.org/abs/math/0406387 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71614 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | 32J15; 53C55; 53C21 | |
| dc.title | On surfaces of class VII_0^+ with numerically anticanonical divisor | |
| dc.type | text |