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arXiv · 2408.03914

Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces

Arturo Fernández-Pérez·Rogério Mol·Rudy Rosas
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Abstract

In this paper we study germs of holomorphic foliations, at the origin of the complex plane, tangent to Pfaffian hypersurfaces - integral hypersurfaces of real analytic 1-forms - satisfying the Rolle-Khovanskii condition. This hypothesis leads us to conclude that such a foliation is defined by a closed meromorphic 1-form, also allowing the classification of the simple models in its reduction of singularities.

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Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas. 2024-08-07. Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces. https://arxiv.org/abs/2408.03914

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