Representants lagrangiens de l'homologie des surfaces projectives complexes
| dc.creator | Bennequin, Daniel | |
| dc.creator | Le, Thanh-Tam | |
| dc.date | 2009-03-25 | |
| dc.date.accessioned | 2026-07-07T12:56:59Z | |
| dc.date.available | 2026-07-07T12:56:59Z | |
| dc.description | Using results by Donaldson and Auroux on pseudo-holomorphic curves as well as Duval's rational convexity construction, the paper investigates the existence of smooth Lagrangian surfaces representing 2-dimensional homology classes in complex projective surfaces. We prove that if the projective surface X is minimal, of general type, with uneven geometric genus, and has an effective, smooth and connected canonical divisor K, then there exists a non-empty convex open cone in the real 2-dimensional homology group H2(X) such that a multiple of every integral homology class in this cone can be represented by an embedded Lagrangian surface in X\K. A corollary asserts that such a surface X is of simple type in the sense of Kronheimer and Mrowka. | |
| dc.description | 43 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0903.4490 | |
| dc.identifier | http://arxiv.org/abs/0903.4490 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224772 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D12 (Primary) 53C15,53D35,57R17,57R57,57R95 (Secondary) | |
| dc.title | Representants lagrangiens de l'homologie des surfaces projectives complexes | |
| dc.type | text |