Rigidity of Oeljeklaus-Toma manifolds

Abstract

We prove that Oeljeklaus-Toma manifolds of simple type are rigid, and that any line bundle on an Oeljeklaus-Toma manifold is flat.

(v3) Corrected an error in a previous version (v4) to appear in Ann. Inst. Fourier

References in corpus (2)

• Oeljeklaus-Toma manifolds and arithmetic invariants
• A note on subvarieties of powers of OT-manifolds

Cited by in corpus (5)

• On metric and cohomological properties of Oeljeklaus-Toma manifolds
• Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory
• On a generalization of Inoue and Oeljeklaus-Toma manifolds
• The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature and Oeljeklaus-Toma manifolds
• Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus-Toma manifolds