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Classification of holomorphic foliations on Hopf manifolds
- 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