Stability of logarithmic differencial one-forms

Abstract

This article deals with the irreducible components of the space of codi- mension 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 com- ponents and we give a new proof of the stability of logarithmic foliations, obtaining also that these irreducible components are reduced.