Abelian integrals in holomorphic foliations
| dc.creator | Movasati, Hossein | |
| dc.date | 2002-03-07 | |
| dc.date | 2004-07-05 | |
| dc.date.accessioned | 2026-07-07T04:46:52Z | |
| dc.date.available | 2026-07-07T04:46:52Z | |
| dc.description | The aim of this paper is to introduce the theory of Abelian integrals for holomorphic foliations in a complex manifold of dimension two. We will show the importance of Picard-Lefschetz theory and the classification of relatively exact 1-forms in this theory. As an application we identify some irreducible components of the space of holomorphic foliations of a fixed degree and with a center singularity in the projective space of dimension two. Also we calculate higher Melnikov functions under some generic conditions. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203062 | |
| dc.identifier | http://arxiv.org/abs/math/0203062 | |
| dc.identifier | Rev. Mat. Iberoamericana 20 (2004),183-204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63508 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 57R30 - 14D99 - 32G34 | |
| dc.title | Abelian integrals in holomorphic foliations | |
| dc.type | text |