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arXiv · 1306.2456

Surfaces on Oeljeklaus-Toma Manifolds

Sima Verbitsky
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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 $S_m$. In this work it is shown that Oeljeklaus-Toma manifolds could not contain any compact complex submanifolds of dimension 2 (surfaces) except Inoue surfaces.

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Sima Verbitsky. 2013-06-11. Surfaces on Oeljeklaus-Toma Manifolds. https://arxiv.org/abs/1306.2456

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