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- W2041569312 abstract "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. As an application, we will explain how this form could be used in order to study the analytic classification of the singularities via the projective holonomy, in the generalized surface case. We will also give an application to the analytic classification of singularities, and a sufficient condition, in the quasi-homogeneous, three-dimensional case, for these foliations to be of generalized surface type." @default.
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- W2041569312 date "2014-02-01" @default.
- W2041569312 modified "2023-10-17" @default.
- W2041569312 title "On codimension one foliations with prescribed cuspidal separatrix" @default.
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- W2041569312 doi "https://doi.org/10.1016/j.jde.2013.12.002" @default.
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