Publicación:
On the quasi-ordinary cuspidal foliations in ( C3, 0 )
On the quasi-ordinary cuspidal foliations in ( C3, 0 )
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Fecha
2006
Autores
Fernández-Sánchez P.
Mozo-Fernández J.
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Elsevier
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Abstracto
In this paper, we study a class of singularities of codimension 1 holomorphic germs of foliations in (C3, 0), namely those ones having only one separatrix, that is a quasi-ordinary surface, and whose reduction of singularities agrees with the combinatorial desingularization of the separatrix. We show that the analytic classification of these germs can be read in the holonomy of a certain component of the exceptional divisor of the desingularization
Descripción
Both authors partially supported by CONCYTEC (Peru) under the research project 551-OAJ (2004), and by Junta de Castilla y León (Spain) under project VA123/04.
Palabras clave
Reduction of singularities,
Holomorphic foliations,
Analytic classification