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On affine group actions on Stein manifolds

  • Helisson Coutinho EMAIL logo
Published/Copyright: January 19, 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.

Received: 2009-12-08
Revised: 2010-03-13
Published Online: 2012-01-19
Published in Print: 2012-January

© 2012 by Walter de Gruyter Berlin Boston

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