Gauge theoretical methods in the classification of non-Kaehlerian surfaces
| dc.creator | Teleman, Andrei | |
| dc.date | 2008-04-03 | |
| dc.date.accessioned | 2026-07-07T09:30:07Z | |
| dc.date.available | 2026-07-07T09:30:07Z | |
| dc.description | The classification of class VII surfaces is a very difficult classical problem in complex geometry. It is considered by experts to be the most important gap in the Enriques-Kodaira classification table for complex surfaces. The standard conjecture concerning this problem states that any minimal class VII surface with $b_2>0$ has $b_2$ curves. By the results of Kato, Nakamura and Dloussky/Oeljeklaus/Toma, this conjecture (if true) would solve this classification problem completely. We explain a new approach (based on techniques from Donaldson theory) to prove existence of curves on class VII surfaces, and we present recent results obtained using this approach. | |
| dc.description | 12 pages, 2 figures, talk given at the Postnikov Memorial Conference, Bedlewo (Poland) June 2007, to appear in Banach Center Publications | |
| dc.identifier | https://arxiv.org/abs/0804.0557 | |
| dc.identifier | http://arxiv.org/abs/0804.0557 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158026 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 32Q57; 57R57; 53C07; 32Q55 | |
| dc.title | Gauge theoretical methods in the classification of non-Kaehlerian surfaces | |
| dc.type | text |