Classification of holomorphic Pfaff systems on Hopf manifolds
Algebraic Geometry
2021-01-15 v2 Complex Variables
Abstract
We classify holomorphic Pfaff systems (possibly non locally decomposable) on certain Hopf manifolds. As consequence, we prove some integrability results. We also prove that any holomorphic distribution on a general (non-resonance) Hopf manifold is integrable.
Keywords
Cite
@article{arxiv.2001.11047,
title = {Classification of holomorphic Pfaff systems on Hopf manifolds},
author = {Maurício Corrêa and Antonio M. Ferreira and Misha Verbitsky},
journal= {arXiv preprint arXiv:2001.11047},
year = {2021}
}
Comments
To appear in European Journal of Mathematics