A generalization of Sankaran and LVMB manifolds

DOI10.1307/mmj/1427203291zbMath1325.32019arXiv1403.5130OpenAlexW3098729407MaRDI QIDQ2346066

Karl Oeljeklaus, Laurent Battisti

Publication date: 29 May 2015

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5130

zbMATH Keywords

non-Kähler complex compact manifolds

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Compact analytic spaces (32J99) Classification theorems for complex manifolds (32Q57)

Related Items (2)

Toric Kato manifolds ⋮ The complex geometry of a hypothetical complex structure on \(S^6\)

Cites Work

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• LVMB manifolds and quotients of toric varieties
• A class of non-Kähler complex manifolds
• Cohomology of split group extensions
• A new geometric construction of compact complex manifolds in any dimension
• Non-Kähler compact complex manifolds associated to number fields.
• On almost homogeneous compact complex analytic surfaces
• A new family of complex, compact, non-symplectic manifolds
• Holomorphic Line Bundles Over Domains in Cousin Groups and the Algebraic Dimension of Oeljeklaus-Toma Manifolds
• Compact complex manifolds: an extension of Meersseman's and López de Medrano-Verjovsky's construction

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