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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 3, Pages 84–88
DOI: https://doi.org/10.4213/faa3151
(Mi faa3151)
 

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
Full-text PDF (160 kB) Citations (7)
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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.
Keywords: non-Kähler manifold, complex manifold, Oeljeklaus–Toma manifold, Inoue surface, surface of class VII, Dirichlet unit theorem.
Received: 16.05.2012
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 3, Pages 223–226
DOI: https://doi.org/10.1007/s10688-014-0063-y
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
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
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa3151
  • https://www.mathnet.ru/eng/faa/v48/i3/p84
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:60
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