Stability of logarithmic differential one-forms

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 logarit...

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Bibliographic Details
Published in:arXiv.org 2017-06
Main Authors: Cukierman, Fernando, Javier Gargiulo Acea, Massri, César
Format: Article
Language:English
Subjects:
Parameterization
Stability
Online Access:Get full text
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Summary: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.
ISSN:2331-8422