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Twisted basic Dolbeault cohomology on transverse Kähler foliations

Annals of Global Analysis and Geometry, ISSN: 1572-9060, Vol: 62, Issue: 2, Page: 285-303
2022
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In this paper, we study the twisted basic Dolbeault cohomology and transverse hard Lefschetz theorem on a transverse Kähler foliation. And we give some properties for Δ -harmonic forms and prove the Kodaira–Serre-type duality and Dolbeault isomorphism for the twisted basic Dolbeault cohomology.

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