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arXiv · 1404.2069

Feuilletages holomorphes de codimension 1: une étude locale dans le cas dicritique

Dominique Cerveau·Alcides Lins Neto·Marianna Ravara-Vago
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Abstract

Nous décrivons les singularités de feuilletages holomorphes dicritiques de petite multiplicité en dimension $3$. En particulier nous relions l'existence de déformations et de déploiements non triviaux à des problèmes d'intégrabilité liouvillienne. We describe the singularities of dicritical holomorphic foliations of small multiplicity in dimension $3$. In particular we connect the existence of non trivial deformations and deployments to problems of liouvillian integrability.

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Dominique Cerveau, Alcides Lins Neto, Marianna Ravara-Vago. 2014-04-08. Feuilletages holomorphes de codimension 1: une étude locale dans le cas dicritique. https://arxiv.org/abs/1404.2069

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