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An algebraic algorithm for the resolution of singularities of foliations

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Abstract

We propose an algorithm that uses Gröbner bases to compute the resolution of the singularities of a foliation of the complex projective plane.

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Authors and Affiliations

  1. Departamento de Ciência da Computação, Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, Rio de Janeiro, RJ, 21945-970, Brazil

    S. C. Coutinho & R. M. Oliveira

  2. Programa de Engenharia de Sistemas e Computação, COPPE, UFRJ, P.O. Box 68511, Rio de Janeiro, RJ, 21941-972, Brazil

    S. C. Coutinho

Authors
  1. S. C. Coutinho
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  2. R. M. Oliveira
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Corresponding author

Correspondence to S. C. Coutinho.

Additional information

During the preparation of this paper the first author was partially supported by a grant from CNPq, and the second author by a scholarship from CNPq/PIBICT. We wish to thank the referees for many useful suggestions that greatly improved the paper.

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Coutinho, S.C., Oliveira, R.M. An algebraic algorithm for the resolution of singularities of foliations. AAECC 19, 475–493 (2008). https://doi.org/10.1007/s00200-008-0084-y

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  • DOI: https://doi.org/10.1007/s00200-008-0084-y

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