Oeljeklaus-Toma manifolds admitting no complex subvarieties

DOI10.4310/MRL.2011.v18.n4.a12zbMath1272.53060arXiv1009.1101MaRDI QIDQ2391553

Liviu Ornea, Misha Verbitsky

Publication date: 5 August 2013

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1101

zbMATH Keywords

Kähler potentiallocally conformally Kähler manifoldInoue surfacecomplex subvarietypositive bundle

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Other complex differential geometry (53C56)

Related Items (13)

Complex geometry of moment-angle manifolds ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds ⋮ The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature, and Oeljeklaus–Toma manifolds ⋮ On the structure of Hermitian manifolds with semipositive Griffiths curvature ⋮ Curves on the Oeljeklaus-Toma manifolds ⋮ Rigidity of Oeljeklaus-Toma manifolds ⋮ Units in number fields satisfying a multiplicative relation with application to Oeljeklaus-Toma manifolds ⋮ Flat affine subvarieties in Oeljeklaus-Toma manifolds ⋮ De Rham and twisted cohomology of Oeljeklaus-Toma manifolds ⋮ On the generalization of Inoue manifolds ⋮ Holomorphic Line Bundles Over Domains in Cousin Groups and the Algebraic Dimension of Oeljeklaus-Toma Manifolds ⋮ Some remarks on Calabi-Yau and hyper-Kähler foliations

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