Twisted basic Dolbeault cohomology on transverse Kähler foliations

2021/01/24 by Seoung Dal Jung, Jung, Seoung Dal
Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2101.09638

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 Δ_κ-harmonic forms and prove the Kodaira-Serre type duality for the twisted basic Dolbeault cohomology.

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