Classification of holomorphic foliations of arbitrary codimension on Hopf manifolds

TL;DR

This paper classifies nonsingular holomorphic distributions of any codimension on Hopf manifolds, showing they are all induced by monomial holomorphic forms on generic cases.

Contribution

It provides a complete classification of holomorphic distributions on Hopf manifolds, revealing their structure as monomial forms.

Findings

All holomorphic distributions of codimension k are monomial forms.

The classification applies to generic Hopf manifolds.

The results extend understanding of complex foliations on these manifolds.

Abstract

We classify nonsingular holomorphic distributions of arbitrary codimension on certain Hopf manifolds. We prove that all holomorphic distribution of codimension k on a generic Hopf manifold is induced by a mononial holomorphic k-form.