Curves on Oeljeklaus-Toma Manifolds

Abstract

Oeljeklaus-Toma manifolds are complex non-Kähler manifolds constructed by Oeljeklaus and Toma from certain number fields, and generalizing the Inoue surfaces $S_m$. We prove that Oeljeklaus-Toma manifolds contain no compact complex curves.

4 pages

Cited by in corpus (4)

• The Chern-Ricci flow on Oeljeklaus-Toma manifolds
• Complex geometry of moment-angle manifolds
• Surfaces on Oeljeklaus-Toma Manifolds
• On a generalization of Inoue and Oeljeklaus-Toma manifolds