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Surfaces on Oeljeklaus-Toma Manifolds
Published 11 Jun 2013 in math.AG, math.CV, and math.DG | (1306.2456v1)
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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