On closed currents invariant by holomorphic foliations, I

2012/02/05 by Julio C. Rebelo, Rebelo, Julio C.
Mathematics · #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #math.CV #math.DS

paper · pdf · doi:10.48550/arxiv.1202.0991

arxiv created 2012/02/05 · arxiv updated 2012/02/07

Abstract

We consider closed positive currents invariant by a singular holomorphic foliation on an algebraic surface. We show that under some conditions the foliation must leave invariant an algebraic curve.

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