Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces
Holomorphic foliations tangent to Rolle-pfaffian hypersurfaces
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 …