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Publication Date:
19 01 2012
ISSN:
1435-5337
DOI:
10.1515/form.2011.063

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Managing Editor: Ranicki, Andrew

null Brüdern, Jörg / Bruinier, Jan Hendrik / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Gallavotti, Giovanni / Garnier, Josselin / Neeb, Karl-Hermann / Noguchi, Junjiro / Segal, Dan / Freydoon, Shahidi / Shigekawa, Ichiro / Sogge, Christopher D. / Strambach, Karl

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On affine group actions on Stein manifolds

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.

Keywords.: Affine group; group action; holomorphic foliation; dicritical singularity

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