On First Integrals for Holomorphic Vector Fields

Abstract

We give a geometrical demonstration to the existence of holomorphic first integrals for certain kind of vector fields in ${\mathbb{C}}^2$ and ${\mathbb{C}}^3$.

The paper has been withdrawn because many mistakes have been found

References in corpus (1)

• Closed Orbits and Integrability for singularities of complex vector fields in dimension three