Embedded Curves and Foliations

2011/10/17 by Hossein Movasati, Movasati, Hossein, Paulo Sad +1
Mathematics · #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1110.3669

Abstract

We prove the existence of regular foliations with a prescribed tangency divisor in neighborhoods of negatively embedded holomorphic curves; this is related to a linearization theorem due to Grauert. We give also examples of neighborhoods which can not be linearized.

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