arXiv subjects

Sima Verbitsky

Publications and source records attributed to Sima Verbitsky.

2 recordsLinked to original sources

arXiv2013

Surfaces on Oeljeklaus-Toma Manifolds

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.

math.AG↗

arXiv2013

Curves on Oeljeklaus-Toma Manifolds

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.

math.DG↗