Abelian integrals in holomorphic foliations
代数几何
2007-05-23 v3
摘要
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.
引用
@article{arxiv.math/0203062,
title = {Abelian integrals in holomorphic foliations},
author = {Hossein Movasati},
journal= {arXiv preprint arXiv:math/0203062},
year = {2007}
}
备注
24 pages