Sliding invariants and classification of singular holomorphic foliations in the plane
Dynamical Systems
2014-02-27 v2
Abstract
By introducing a new invariant called the set of slidings, we give a complete strict classification of the class of germs of non-dicritical holomorphic foliations in the plan whose Camacho-Sad indices are not rational. Moreover, we will show that, in this class, the new invariant is finitely determined. Consequently, the finite determination of the class of isoholonomic non-dicritical foliations and absolutely dicritical foliations that have the same Dulac maps are proved.
Keywords
Cite
@article{arxiv.1304.4805,
title = {Sliding invariants and classification of singular holomorphic foliations in the plane},
author = {Truong Hong Minh},
journal= {arXiv preprint arXiv:1304.4805},
year = {2014}
}
Comments
21 pages, 2 figure