About canonical Kähler metrics on Mumford semistable projective bundles over a curve

DOI10.1112/jlms/jdv066zbMath1344.53054arXiv1407.7062OpenAlexW3099217466MaRDI QIDQ2793764

Julien Keller

Publication date: 17 March 2016

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

Full work available at URL: https://arxiv.org/abs/1407.7062

zbMATH Keywords

parabolic structurescanonical Kähler metricsMumford semistable vector bundles

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Geometric invariant theory (14L24) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Critical metrics (58E11)

Related Items (3)

Scalar curvature and Futaki invariant of Kähler metrics with cone singularities along a divisor ⋮ A Partial Comparison of Stability Notions in Kähler Geometry ⋮ Stable maps in higher dimensions

Cites Work

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• A note on Chow stability of the projectivization of Gieseker stable bundles
• Weighted projective embeddings, stability of orbifolds, and constant scalar curvature Kähler metrics
• Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces
• Extremal Kähler metrics and energy functionals on projective bundles
• Canonical metrics on stable vector bundles
• Blowing up and desingularizing constant scalar curvature Kähler manifolds
• On a set of polarized Kähler metrics on algebraic manifolds
• Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability
• Balanced metrics and Chow stability of projective bundles over Kähler manifolds
• K-stability of constant scalar curvature Kähler manifolds
• The \(K\)-energy map, almost Einstein Kähler metrics and an inequality of the Miyaoka type
• Moduli of vector bundles on curves with parabolic structures
• Canonical coordinates and Bergmann metrics
• Scalar curvature and projective embeddings. I
• Constant Hermitian scalar curvature equations on ruled manifolds.
• An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I.
• Scalar curvature and stability of toric varieties.
• Note on \(K\)-stability of pairs
• Extremal Kähler metrics on projectivized vector bundles
• Extremal metrics on ruled manifolds
• Lower bounds on the Calabi functional
• An obstruction to the existence of constant scalar curvature Kähler metrics
• Stable and unitary vector bundles on a compact Riemann surface
• Non-minimal scalar-flat Kähler surfaces and parabolic stability
• Scalar curvature and asymptotic Chow stability of projective bundles and blowups
• The Calabi functional on a ruled surface
• Remarks on extremal Kähler metrics on ruled manifolds
• Modeling claims data with composite Stoppa models
• Remarks on logarithmic K-stability
• Kähler Metrics with Cone Singularities Along a Divisor
• Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields
• A REMARK ON KÄHLER METRICS OF CONSTANT SCALAR CURVATURE ON RULED COMPLEX SURFACES
• Ricci Flat Kähler Metrics with Edge Singularities
• Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds

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