Curves on Oeljeklaus-Toma Manifolds

Mathematics – Differential Geometry

Scientific paper

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4 pages

Scientific paper

Oeljeklaus-Toma manifolds are complex non-K\"ahler manifolds constructed by
Oeljeclaus 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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