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Twisted basic Dolbeault cohomology on transverse Kähler foliations (2101.09638v2)

Published 24 Jan 2021 in math.DG

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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