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arxiv: 1110.3669 · v1 · pith:Q6JG4T35new · submitted 2011-10-17 · 🧮 math.CV · math.AG

Embedded Curves and Foliations

classification 🧮 math.CV math.AG
keywords curvesembeddedfoliationsneighborhoodsdivisorexamplesexistencegive
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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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