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arXiv · 1811.02541

Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds

Alexandra Otiman·Matei Toma
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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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Alexandra Otiman, Matei Toma. 2018-11-06. Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds. https://doi.org/10.2422/2036-2145.201812_001

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