Singularidades presimples y simples de foliaciones de codimensión uno

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 singularitie...

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Autor Principal: Fernández, Percy
Otros Autores: Neciosup, Hernán, Saravia, Nancy
Formato:
Idioma: spa
Publicado: Pontificia Universidad Católica del Perú 2018
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Acceso en línea: http://revistas.pucp.edu.pe/index.php/promathematica/article/view/20243
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Sumario: 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.