English

Curves on Oeljeklaus-Toma Manifolds

Differential Geometry 2013-03-05 v2 Algebraic Geometry Complex Variables

Abstract

Oeljeklaus-Toma manifolds are complex non-K\"ahler manifolds constructed by Oeljeklaus and Toma from certain number fields, and generalizing the Inoue surfaces SmS_m. We prove that Oeljeklaus-Toma manifolds contain no compact complex curves.

Keywords

Cite

@article{arxiv.1111.3828,
  title  = {Curves on Oeljeklaus-Toma Manifolds},
  author = {Sima Verbitsky},
  journal= {arXiv preprint arXiv:1111.3828},
  year   = {2013}
}

Comments

4 pages