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Classification of holomorphic foliations on Hopf manifolds

Authors :
Corrêa, Maurício
Fernández-Pérez, Arturo
Ferreira, Antonio M.
Publication Year :
2015

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.<br />Comment: 13 pages, to appear Mathematische Annalen

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1502.00834
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/s00208-015-1267-z