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Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds (1811.02541v3)

Published 6 Nov 2018 in math.CV and math.DG

Abstract: We compute the Dolbeault cohomology of geodesically convex domains contained in Cousin groups which satisfy a strong dispersiveness condition. As a consequence we obtain a description of the Dolbeault cohomology of Oeljeklaus-Toma manifolds and in particular the fact that the Hodge decomposition holds for their cohomology.

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