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On transverse rigidity for singular foliations in (ℂ2,0)

Published online by Cambridge University Press:  22 April 2010

JULIO C. REBELO
JULIO C. REBELO*
Affiliation:
Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématique de Toulouse, F-31062 Toulouse, France CNRS, Institut de Mathématique de Toulouse UMR 5219, F-31062 Toulouse, France (email: [email protected])
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Abstract

This note is a companion paper to ‘Monodromie et classification topologique des germes de feuilletages holomorphes’ (in French) by Marin and Mattei. In their paper the authors develop a very complete theory about topologically conjugate singularities of foliations. However, their techniques require the topological conjugacies to be transversely holomorphic. The purpose of the present note is to show that this assumption can be made without restricting the generality of their results.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 3 , June 2011 , pp. 935 - 950
Copyright
Copyright © Cambridge University Press 2010

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