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arXiv · 2102.02907

Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus-Toma manifolds

Hisashi Kasuya
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Abstract

We prove the Hodge symmetry type result on the Dolbeault cohomology of Oeljeklaus-Toma manifolds with values in the direct sum of holomorphic line bundles. Consequently, we show the vanishing and non-vanishing of Dolbeault cohomology of Oeljeklaus-Toma manifolds with values in holomorphic line bundles.

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Hisashi Kasuya. 2021-02-04. Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus-Toma manifolds. https://arxiv.org/abs/2102.02907

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