Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces
Complex Variables
2024-08-08 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2408.03914,
title = {Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces},
author = {Arturo Fernández-Pérez and Rogério Mol and Rudy Rosas},
journal= {arXiv preprint arXiv:2408.03914},
year = {2024}
}
Comments
23 pages