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Extension theorems for analytic objects associated to foliations

2010/10/07 by César Camacho, Camacho, César, Bruno Scárdua +1
Mathematics · #32S65 #58F18 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #math.CV #math.DS #msc:32S65 #msc:58F18

paper · pdf · doi:10.48550/arxiv.1010.1315

arxiv created 2010/10/07 · arxiv updated 2010/10/08

Abstract

In this paper we will establish a structure theorem concerning the extension of analytic objects associated to germs of dimension one foliations on surfaces, through one-dimensional barriers. As an application, an extension theorem for projective transverse structures is obtained.

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