Geodesic
Curves on the Oeljeklaus--Toma Manifolds
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 3, pp. 84-88

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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, surface of class VII, Dirichlet unit theorem.
Mots-clés : Oeljeklaus–Toma manifold, Inoue surface 
@article{FAA_2014_48_3_a6,
     author = {S. Viarbitskaya},
     title = {Curves on the {Oeljeklaus--Toma} {Manifolds}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {84--88},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2014_48_3_a6/}
}
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S. Viarbitskaya. Curves on the Oeljeklaus--Toma Manifolds. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 3, pp. 84-88. http://geodesic.mathdoc.fr/item/FAA_2014_48_3_a6/