Curves on Oeljeklaus-Toma Manifolds
  Oeljeklaus-Toma manifolds are complex non-K\"ahler 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. 
Sima Verbitsky
math.DG math.AG math.CV