Stability of logarithmic differential one-forms
Algebraic Geometry
2017-06-21 v1 Dynamical Systems
Abstract
This article deals with the irreducible components of the space of codimension one foliations in a projective space defined by logarithmic forms of a certain degree. We study the geometry of the natural parametrization of the logarithmic components and we give a new proof of the stability of logarithmic foliations, obtaining also that these irreducible components are reduced.
Cite
@article{arxiv.1706.06534,
title = {Stability of logarithmic differential one-forms},
author = {Fernando Cukierman and Javier Gargiulo Acea and César Massri},
journal= {arXiv preprint arXiv:1706.06534},
year = {2017}
}