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Curves on Oeljeklaus-Toma Manifolds

Published 16 Nov 2011 in math.DG, math.AG, and math.CV | (1111.3828v2)

Abstract: Oeljeklaus-Toma manifolds are complex non-K\"ahler 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.

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