Residue-type indices and holomorphic foliations
Dynamical Systems
2017-03-06 v1
Abstract
We investigate residue-type indices for germs of holomorphic foliations in the plane and characterize second type foliations - those not containing tangent saddle-nodes in the reduction of singularities - by an expression involving the Baum-Bott, variation and polar excess indices. These local results are applied in the study of logarithmic foliations on compact complex surfaces.
Keywords
Cite
@article{arxiv.1703.01119,
title = {Residue-type indices and holomorphic foliations},
author = {Arturo Fernández-Pérez and Rogério Mol},
journal= {arXiv preprint arXiv:1703.01119},
year = {2017}
}
Comments
21 pages, 2 figures