Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus-Toma manifolds
arXiv:2102.02907
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.
12 pages To appear in Eur. J. Math