On Holomorphic Foliations Without Algebraic Solutions.

Severino Collier Coutinho,Bruno F. M. Ribeiro

EXPERIMENTAL MATHEMATICS（2001）

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摘要

We give a symbolic algorithm to check whether certain holomorphic foliations of the complex projective plane have an algebraic solution. This algorithm is then used to produce new examples of foliations without algebraic solutions.

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关键词

Grobner bases,holomorphic foliation,algebraic solution

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