Elimination of resonances in codimension one foliations

  1. Fernández Duque, M.
Revista:
Publicacions matematiques

ISSN: 0214-1493

Año de publicación: 2015

Volumen: 59

Número: 1

Páginas: 75-97

Tipo: Artículo

DOI: 10.5565/PUBLMAT_59115_05 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Otras publicaciones en: Publicacions matematiques

Resumen

The problem of reduction of singularities for germs of codimension one foliations in dimension three has been solved by Cano in [3]. The author divides the proof in two steps. The first one consists in getting pre-simple points and the second one is the passage from pre-simple to simple points. In arbitrary dimension of the ambient space the problem is open. In this paper we solve the second step of the problem.