Embedded Curves and Foliations

Details Embedded Curves and Foliations Embedded Curves and Foliations

2011-10-17

arxiv.org/abs/1110.3669v1

Mathematics

Complex Variables

Pub. Mat. 55, 2011

Scientific paper

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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