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arXiv · 2101.09638

Twisted basic Dolbeault cohomology on transverse K\"ahler foliations

Seoung Dal Jung
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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 $\Delta_\kappa$-harmonic forms and prove the Kodaira-Serre type duality for the twisted basic Dolbeault cohomology.

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Seoung Dal Jung. 2021-01-24. Twisted basic Dolbeault cohomology on transverse K\"ahler foliations. https://arxiv.org/abs/2101.09638

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