Singularidades presimples y simples de foliaciones de codimensión uno

Authors

  • Percy Fernández Pontificia Universidad Católica del Perú
  • Hernán Neciosup Pontificia Universidad Católica del Perú
  • Nancy Saravia Pontificia Universidad Católica del Perú

Keywords:

Foliations, singularities, singularity reduction

Abstract

In dimension 2 as in 3, singularity reduction of holomorphic foliations of codimension 1 have two phases: rst, from the given singularity to the presimple singularity; second, form the presimple singularities to the simple ones. In this article we establish the normal forms of presimple singularities according to the papers [2], [4] and [3]. Also, we characterize presimple singularities with closed leafs.

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Published

2018-09-10

How to Cite

Fernández, P., Neciosup, H., & Saravia, N. (2018). Singularidades presimples y simples de foliaciones de codimensión uno. Pro Mathematica, 30(59), 51–97. Retrieved from https://revistas.pucp.edu.pe/index.php/promathematica/article/view/20243

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Artículos