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The polar family of webs and foliations

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Abstract

We define the polar curves and the polar family associated to a projective web and obtain some results about the geometry of the generic element of this family. We also deal with the particular case of foliations and prove the constancy of the topological embedded type of the generic polar.

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Authors and Affiliations

  1. Departamento de Análise, IM, Universidade Federal Fluminense, Rua Mário Santos Braga s/n, 24020-140, Niterói, RJ, Brazil

    M. Falla Luza

  2. Departamento de Matemática, Pontificia Universidad Católica del Perú, Av. Universitaria 1801, San Miguel, Lima, Perú

    R. Rosas Bazan

Authors
  1. M. Falla Luza
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  2. R. Rosas Bazan
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Corresponding author

Correspondence to M. Falla Luza.

Additional information

Partially supported by Mathamsud/CAPES.

Partially supported by Mathamsud/CONCYTEC.

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Falla Luza, M., Rosas Bazan, R. The polar family of webs and foliations. Bull Braz Math Soc, New Series 45, 313–324 (2014). https://doi.org/10.1007/s00574-014-0050-1

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  • DOI: https://doi.org/10.1007/s00574-014-0050-1

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