Vanishing Cycles in Holomorphic Foliations by Curves and Foliated Shells
Complex Variables
2010-09-01 v3 Dynamical Systems
Abstract
The purpose of this paper is the study of vanishing cycles in holomorphic foliations by complex curves on compact complex manifolds. The main result consists in showing that a vanishing cycle comes together with a much richer complex geometric object - we call this object a foliated shell.
Keywords
Cite
@article{arxiv.0812.2114,
title = {Vanishing Cycles in Holomorphic Foliations by Curves and Foliated Shells},
author = {S. Ivashkovich},
journal= {arXiv preprint arXiv:0812.2114},
year = {2010}
}
Comments
65 pages, 9 figures. A Section about pluriexact foliatins added. To appear in GAFA