Hypersurfaces symplectiques réelles et pinceaux de Lefschetz réels
| dc.creator | Gayet, Damien | |
| dc.date | 2006-11-24 | |
| dc.date | 2007-12-06 | |
| dc.date.accessioned | 2026-07-07T08:47:34Z | |
| dc.date.available | 2026-07-07T08:47:34Z | |
| dc.description | In a compact, symplectic real manifold, i.e supporting an antisymplectic involution, we use Donaldson's construction to build a codimension 2 symplectic submanifold invariant under the action of the involution. If the real part of the manifold is not empty, and if the symplectic form $\om$ is entire, then for all $k$ big enough, we can find a hypersurface Poincaré dual of $k[ω]$ such that its real part has at least $k^{\dim X/4}$ connected components, up to a constant independant of $k$. Finally we extend to our real case Donaldson's construction of Lefschetz pencils. | |
| dc.description | A new version wich includes the higher rank bundles, and a kind of uniqueness. To appear in the Journal of Symplectic Geometry | |
| dc.identifier | https://arxiv.org/abs/math/0611746 | |
| dc.identifier | http://arxiv.org/abs/math/0611746 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143643 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 14P25, 53D05, 14D06, 32Q15. | |
| dc.title | Hypersurfaces symplectiques réelles et pinceaux de Lefschetz réels | |
| dc.type | text |