On Holomorphic Foliations Without Algebraic Solutions

s. c. Coutinho Departamento de Ciê;ncia da Computaç;ão, Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970, Rio de Janeiro, RJ, Brazil E-mail: [email protected]

Bruno F. M. Ribeiro Departamento de Ciência da Computação, Instituto de Matematica, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970, Rio de Janeiro, RJ, Brazil E-mail: [email protected]

Abstract

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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On Holomorphic Foliations Without Algebraic Solutions

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On Holomorphic Foliations Without Algebraic Solutions

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