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Curves on the Oeljeklaus-Toma manifolds

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Abstract

The Oeljeklaus-Toma manifolds are complex non-Kähler manifolds constructed by Oeljeklaus and Toma from certain number fields and generalizing the Inoue surfaces S m . We prove that the Oeljeklaus-Toma manifolds contain no compact complex curves.

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Correspondence to S. M. Verbitskaya.

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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 48, No. 3, pp. 84–88, 2014

Original Russian Text Copyright © by S. M. Verbitskaya

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Verbitskaya, S.M. Curves on the Oeljeklaus-Toma manifolds. Funct Anal Its Appl 48, 223–226 (2014). https://doi.org/10.1007/s10688-014-0063-y

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  • DOI: https://doi.org/10.1007/s10688-014-0063-y

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