1Instituto
Multidisciplinar, Universidade Federal Rural do Rio de Janeiro,
Nova Iguaçu, Rio de Janeiro, 26210-210, Brazil
Citation Information:
Forum Mathematicum.
Volume 24, Issue 1, Pages 211–222, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741,
DOI: 10.1515/form.2011.063,
January 2012
Publication History:
Received: 08/12/2009;
Revised: 13/03/2010;
Published Online: 27/02/2012
Abstract.
We consider actions of the complex affine group
Aff(). For the case the action exhibits a regular
dicritic singularity
psing( ) and the ambient manifold is Stein we prove a linearization theorem.
In dimension three we prove a (Reeb) stability theorem for a
holomorphic foliations given by an affine group action on Stein 3-manifolds.
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