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

4 Feb 2021 · Hisashi Kasuya ·

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.