Existence of twisted constant scalar curvature Kähler metrics with a large twist
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Publication:2312815
DOI10.1007/s00209-018-2133-yzbMath1418.53076arXiv1508.00513OpenAlexW2288307188WikidataQ125591728 ScholiaQ125591728MaRDI QIDQ2312815
Publication date: 18 July 2019
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.00513
constant scalar curvature Kähler metrics\(K\)-stabilitytwisted constant scalar curvature Kähler metrics
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Notions of stability for complex manifolds (32Q26)
Related Items (10)
Stability conditions for polarised varieties ⋮ Weighted K-stability and coercivity with applications to extremal Kähler and Sasaki metrics ⋮ A Yau-Tian-Donaldson correspondence on a class of toric fibrations ⋮ Optimal symplectic connections and deformations of holomorphic submersions ⋮ Constant scalar curvature Kähler metrics on ramified Galois coverings ⋮ On the constant scalar curvature Kähler metrics (II)—Existence results ⋮ Moduli theory, stability of fibrations and optimal symplectic connections ⋮ Uniqueness of optimal symplectic connections ⋮ Stable maps in higher dimensions ⋮ On Calabi’s extremal metric and properness
Cites Work
- Unnamed Item
- Unnamed Item
- Réduction du cas positif de l'équation de Monge-Ampère sur les variétés Kählériennes compactes à la démonstration d'une inégalité
- Partial differential equations. I: Basic theory
- Extremal Kähler metrics and complex deformation theory
- Kähler-Einstein metrics with positive scalar curvature
- Moment maps and diffeomorphisms
- Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
- Convergence of the \(J\)-flow on toric manifolds
- A new parabolic flow in Kähler manifolds
- Convergence of the \(J\)-flow on Kähler surfaces
- Scalar curvature and stability of toric varieties.
- Special test configuration and \(K\)-stability of Fano varieties
- Twisted constant scalar curvature Kähler metrics and Kähler slope stability
- A finite dimensional approach to Donaldson's J-flow
- Filtrations and test-configurations
- The J-flow and stability
- A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics
- Fibrations with constant scalar curvature Kähler metrics and the CM-line bundle
- The Kähler-Ricci flow on surfaces of positive Kodaira dimension
- Lower bounds on the Calabi functional
- On the \(J\)-flow in higher dimensions and the lower boundedness of the Mabuchi energy
- Constant scalar curvature Kähler metrics on fibred complex surfaces
- Canonical measures and Kähler-Ricci flow
- Lectures on Stability and Constant Scalar Curvature
- Greatest lower bounds on the Ricci curvature of Fano manifolds
- Seminar on Differential Geometry. (AM-102)
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
- Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics
- On the convergence and singularities of the J‐Flow with applications to the Mabuchi energy
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