Twisted basic Dolbeault cohomology on transverse K\"ahler foliations
Differential Geometry
2021-06-24 v2
Abstract
In this paper, we study the twisted basic Dolbeault cohomology and transverse hard Lefschetz theorem on a transverse Kahler foliation. And we give some properties for -harmonic forms and prove the Kodaira-Serre type duality for the twisted basic Dolbeault cohomology.
Keywords
Cite
@article{arxiv.2101.09638,
title = {Twisted basic Dolbeault cohomology on transverse K\"ahler foliations},
author = {Seoung Dal Jung},
journal= {arXiv preprint arXiv:2101.09638},
year = {2021}
}
Comments
18 pages. arXiv admin note: text overlap with arXiv:1709.05469