Holomorphic line bundles over domains in Cousin groups and the algebraic dimension of OT-manifolds

Abstract

In this paper we extend results due to Vogt on line bundles over Cousin groups to the case of domains stable by the maximal compact subgroup. This is used in the sequel to show that the algebraic dimension of OT-manifolds is zero. In the last part we establish that certain Cousin groups, in particular those arising from the construction of OT-manifolds, have finite-dimensional irregularity.

13 pages

References in corpus (1)

• Homogeneous Kähler and Hamiltonian manifolds

Cited by in corpus (4)

• The Chern-Ricci flow on Oeljeklaus-Toma manifolds
• Rigidity of Oeljeklaus-Toma manifolds
• Flat affine subvarieties in Oeljeklaus-Toma manifolds
• The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature and Oeljeklaus-Toma manifolds