Holomorphic Line Bundles Over Domains in Cousin Groups and the Algebraic Dimension of Oeljeklaus-Toma Manifolds

DOI10.1017/S0013091514000327zbMath1327.32031arXiv1306.3047OpenAlexW3123720337MaRDI QIDQ5253315

Karl Oeljeklaus, Laurent Battisti

Publication date: 5 June 2015

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3047

zbMATH Keywords

Cousin groupsline bundlescompact complex manifoldsalgebraic dimension

Mathematics Subject Classification ID

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

Related Items (6)

The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature, and Oeljeklaus–Toma manifolds ⋮ Hodge decomposition for Cousin groups and for 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 ⋮ A generalization of Sankaran and LVMB manifolds

Cites Work

• Homogeneous Kähler and Hamiltonian manifolds
• Two remarks concerning toroidal groups
• Invariant plurisubharmonic functions and hypersurfaces on semisimple complex Lie groups
• Non-Kähler compact complex manifolds associated to number fields.
• Invariant analytic hypersurfaces
• Oeljeklaus-Toma manifolds admitting no complex subvarieties

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