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Classification de certains feuilletages associés à un cusp

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Abstract

We study singularities of foliations given by R. Moussu closely related to a conjecture of R. Thom. We give their analytic classification and prove their topological rigidity.

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Abbreviations

Σ, ω,F ω :

0

H ω :

0, III

H 1,H p :

I

H-cusp,H r -cusp:

I-3

H ωp :

I-3, III-2

Σ-cusp:

II-1

Σ r -cusp:

III-1

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Authors and Affiliations

  1. IRMAR, Université de Rennes I, Campus de Beaulieu, 35042, Rennes cedex, France

    Frank Loray & Rafik Meziani

Authors
  1. Frank Loray
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  2. Rafik Meziani
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Loray, F., Meziani, R. Classification de certains feuilletages associés à un cusp. Bol. Soc. Bras. Mat 25, 93–106 (1994). https://doi.org/10.1007/BF01232937

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  • DOI: https://doi.org/10.1007/BF01232937

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