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hal-00676885, version 1

Classification of absolutely dicritical foliations of cusp type.

Yohann Genzmer () 1

(2012-03-06)

Abstract: We give a classification of absolutely dicritical foliations of cusp type, that is, the germ of singularities of complex foliations in the complex plane topologically equivalent to the singularity given by the level of the meromorphic function \frac{y^{2}+x^{3}}{xy}.

  • 1:  Institut de Mathématiques de Toulouse (IMT)
  • Université Paul Sabatier [UPS] - Toulouse III – Université Toulouse le Mirail - Toulouse II – Université des Sciences Sociales - Toulouse I – Institut National des Sciences Appliquées (INSA) - Toulouse – CNRS : UMR5219
  • Domain : Mathematics/Complex Variables
    Mathematics/Dynamical Systems
  • Keywords : singularities – foliations
  • Comment : 18 pages
 
  • hal-00676885, version 1
  • http://hal.archives-ouvertes.fr/hal-00676885
  • oai:hal.archives-ouvertes.fr:hal-00676885
  • From: Yohann Genzmer <>
  • Submitted on: Wednesday, 7 March 2012 09:48:22
  • Updated on: Wednesday, 7 March 2012 21:32:58