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arxiv: 1306.4695 · v1 · pith:PEE3N3JRnew · submitted 2013-06-19 · 🧮 math.DS

On codimension one foliations with prescribed cuspidal separatrix

classification 🧮 math.DS
keywords typecodimensioncuspidalfoliationsseparatrixwillcasecondition
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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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