Stability of logarithmic differential one-forms

Cukierman, Fernando; Gargiulo Acea, Javier; Massri, César

doi:10.1090/tran/7443

Stability of logarithmic differential one-forms
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by Fernando Cukierman, Javier Gargiulo Acea and César Massri PDF

Trans. Amer. Math. Soc. 371 (2019), 6289-6308 Request permission

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.

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