Surfaces on Oeljeklaus-Toma Manifolds
Algebraic Geometry
2013-06-12 v1 Complex Variables
Differential Geometry
Abstract
Oeljeklaus-Toma manifolds are complex non-K\"ahler manifolds constructed by Oeljeklaus and Toma from certain number fields. These manifolds generalize Inoue surfaces of type . In this work it is shown that Oeljeklaus-Toma manifolds could not contain any compact complex submanifolds of dimension 2 (surfaces) except Inoue surfaces.
Cite
@article{arxiv.1306.2456,
title = {Surfaces on Oeljeklaus-Toma Manifolds},
author = {Sima Verbitsky},
journal= {arXiv preprint arXiv:1306.2456},
year = {2013}
}
Comments
8 pages. arXiv admin note: substantial text overlap with arXiv:1111.3828