The pseudo-effective cone of a non-Kählerian surface and applications
| dc.creator | Teleman, Andrei | |
| dc.date | 2007-04-23 | |
| dc.date | 2007-06-30 | |
| dc.date.accessioned | 2026-07-07T08:12:58Z | |
| dc.date.available | 2026-07-07T08:12:58Z | |
| dc.description | We describe the positive cone and the pseudo-effective cone of a non-Kählerian surface. We use these results for two types of applications: - Describe the set $σ(X)$ of possible total Ricci scalars associated with Gauduchon metrics of fixed volume 1 on a fixed non-Kähhlerian surface, and decide whether the assignment $X\mapstoσ(X)$ is a deformation invariant. - Study the stability of the canonical extension $$0\to {\cal K}_X\to {\cal A}\to{\cal O}_X\to 0$$ of a class VII surface $X$ with positive $b_2$. This extension plays an important role in our strategy to prove the GSS conjecture using gauge theoretical methods. | |
| dc.description | LaTeX, 25 pages; rv: minor correction in the proof of Remark 4.2 | |
| dc.identifier | https://arxiv.org/abs/0704.2948 | |
| dc.identifier | http://arxiv.org/abs/0704.2948 | |
| dc.identifier | Math. Ann. Vol. 335, No 4, 965-989, 2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132642 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 32J15; 32Q57; 32L05; 32G13 | |
| dc.title | The pseudo-effective cone of a non-Kählerian surface and applications | |
| dc.type | text |