Surfaces on Oeljeklaus-Toma Manifolds

Abstract

Oeljeklaus-Toma manifolds are complex non-Kähler manifolds constructed by Oeljeklaus and Toma from certain number fields. These manifolds generalize Inoue surfaces of type $S_m$. In this work it is shown that Oeljeklaus-Toma manifolds could not contain any compact complex submanifolds of dimension 2 (surfaces) except Inoue surfaces.

8 pages. arXiv admin note: substantial text overlap with arXiv:1111.3828

References in corpus (2)

• Curves on Oeljeklaus-Toma Manifolds
• On compact complex surfaces of Kähler rank one

Cited by in corpus (3)

• The Chern-Ricci flow on Oeljeklaus-Toma manifolds
• Rigidity of Oeljeklaus-Toma manifolds
• On metric and cohomological properties of Oeljeklaus-Toma manifolds