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HOLOMORPHIC FLOWS WITH PERIODIC ORBITS ON STEIN SURFACES

Part of: Holomorphic convexity Complex spaces with a group of automorphisms Automorphic functions Complex dynamical systems

Published online by Cambridge University Press:  22 June 2010

BRUNO SCÁRDUA
BRUNO SCÁRDUA*
Affiliation:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro - RJ, Caixa Postal 68530, 21.945-970 Rio de Janeiro-RJ, Brazil (email: scardua@im.ufrj.br)
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Abstract

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In this paper we study the classification of holomorphic flows on Stein spaces of dimension two. We assume that the flow has periodic orbits, not necessarily with a same period. Then we prove a linearization result for the flow, under some natural conditions on the surface.

Keywords

Stein manifoldholomorphic flowdicritical singularityholomorphic foliation

MSC classification

Secondary: 32E10: Stein spaces, Stein manifolds 37F75: Holomorphic foliations and vector fields 32M25: Complex vector fields
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 2 , October 2010 , pp. 177 - 186
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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