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This article is cited in 7 scientific papers (total in 7 papers)
Brief communications
Curves on the Oeljeklaus–Toma Manifolds
S. Viarbitskaya M. V. Lomonosov Moscow State University
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.
Keywords:
non-Kähler manifold, complex manifold, Oeljeklaus–Toma manifold, Inoue surface, surface of class VII, Dirichlet unit theorem.
Received: 16.05.2012
Citation:
S. Viarbitskaya, “Curves on the Oeljeklaus–Toma Manifolds”, Funktsional. Anal. i Prilozhen., 48:3 (2014), 84–88; Funct. Anal. Appl., 48:3 (2014), 223–226
Linking options:
https://www.mathnet.ru/eng/faa3151https://doi.org/10.4213/faa3151 https://www.mathnet.ru/eng/faa/v48/i3/p84
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Abstract page: | 469 | Full-text PDF : | 196 | References: | 60 | First page: | 18 |
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