Degenerate singularities of one dimensional Foliations
Algebraic Geometry
2010-04-01 v1
Abstract
We give formulas for the degrees of the spaces of foliations in P2 with a dicritical singularity of prescribed order. Blowing up such singularity induces, generically, a foliation with all but finitely many leaves transversal to the exceptional line; we also find the degree of the locus defined by imposing a leaf of total contact with the exceptional line.
Keywords
Cite
@article{arxiv.1003.6107,
title = {Degenerate singularities of one dimensional Foliations},
author = {V. Ferrer and I. Vainsencher},
journal= {arXiv preprint arXiv:1003.6107},
year = {2010}
}