Classification of holomorphic foliations on Hopf manifolds
Algebraic Geometry
2018-10-15 v3 Complex Variables
Differential Geometry
Dynamical Systems
Abstract
We classify nonsingular holomorphic foliations of dimension and codimension one on certain Hopf manifolds. More general, we prove that all nonsingular codimension one distributions on intermediary or generic Hopf manifolds are integrable and has holomorphic integral first. Also, we prove some results about singular holomorphic distributions on Hopf manifolds.
Keywords
Cite
@article{arxiv.1502.00834,
title = {Classification of holomorphic foliations on Hopf manifolds},
author = {Maurício Corrêa and Arturo Fernández-Pérez and Antonio M. Ferreira},
journal= {arXiv preprint arXiv:1502.00834},
year = {2018}
}
Comments
13 pages, to appear Mathematische Annalen