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arXiv · 1306.4695

On codimension one foliations with prescribed cuspidal separatrix

Percy Fernández-Sánchez·Jorge Mozo-Fernández·Hernán Neciosup
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Abstract

In this paper, we will construct a pre-normal form for germs of codimension one holomorphic foliation having a particular type of separatrix, of cuspidal type. We will also give a sufficient condition, in the quasi-homogeneous, three-dimensional case, for these foliations to be of generalized surface type.

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Percy Fernández-Sánchez, Jorge Mozo-Fernández, Hernán Neciosup. 2013-06-19. On codimension one foliations with prescribed cuspidal separatrix. https://arxiv.org/abs/1306.4695

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