Bimeromorphic geometry of LCK manifolds

DOI10.1090/proc/16559arXiv2302.03422OpenAlexW4381491426MaRDI QIDQ6183386

Misha Verbitsky, Liviu Ornea

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2302.03422

zbMATH Keywords

locally conformally Kählerminimal modelnormal varietybimeromorphismglobal Kähler potential

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Meromorphic mappings in several complex variables (32H04)

Cites Work

• On twistor spaces of the class \({\mathcal C}\)
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• On locally conformal almost Kaehler manifolds
• Locally conformally Kähler metrics on Hopf surfaces
• Shafarevich maps and plurigenera of algebraic varieties
• On the metric structure of non-Kähler complex surfaces
• Embedding of LCK manifolds with potential into Hopf manifolds using Riesz-Schauder theorem
• Non-Kähler compact complex manifolds associated to number fields.
• On surfaces of class VII\(_0\)
• Locally conformally Kähler metrics obtained from pseudoconvex shells
• On Locally and Globally Conformal Kahler Manifolds
• Classification of non-Kähler surfaces and locally conformally Kähler geometry
• On a Class of Kato Manifolds
• Bimeromorphic geometry of Kähler threefolds
• Introduction to Singularities and Deformations
• Fundamental groups of rationally connected varieties.
• Non-linear Hopf manifolds are locally conformally Kähler
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