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Conical Kähler-Einstein metrics revisited (Q406648)

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Language	Label	Description	Also known as
English	Conical Kähler-Einstein metrics revisited	scientific article

Statements

scholarly article

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Conical Kähler-Einstein metrics revisited (English)

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Communications in Mathematical Physics

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publication date

9 September 2014

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full work available at URL

https://arxiv.org/abs/1207.5011

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zbMATH Keywords

Kähler-Einstein metrics

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Fano manifolds, Monge-Ampère equation

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MaRDI profile type

MaRDI publication profile

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Symmetries, quotients and Kähler-Einstein metrics

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Réduction du cas positif de l'équation de Monge-Ampère sur les variétés Kählériennes compactes à la démonstration d'une inégalité

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The Dirichlet problem for a complex Monge-Ampère equation

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A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics

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K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics

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Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties

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Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains

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Curvature of vector bundles associated to holomorphic fibrations

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A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry

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Bergman kernels and the pseudoeffectivity of relative canonical bundles

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On regularization of plurisubharmonic functions on manifolds

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The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations

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Asymptotically log Fano varieties

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The space of Kähler metrics.

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Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof

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Conformal metrics with constant curvature one and finitely many conical singularities on compact Riemann surfaces

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Cohomogeneity one Einstein-Sasaki 5-manifolds

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Remarks on the existence problem of positive Kähler-Einstein metrics

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Scalar curvature and stability of toric varieties.

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Kähler Metrics with Cone Singularities Along a Divisor

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Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II

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Singular Kähler-Einstein metrics

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An obstruction to the existence of Einstein Kaehler metrics

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Obstructions to the existence of Sasaki-Einstein metrics

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Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres

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The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function

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Smoothable del Pezzo surfaces with quotient singularities

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Kähler-Einstein metrics with edge singularities

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The complex Monge-Ampère equation

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Toric Kähler-Einstein metrics and convex compact polytopes

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Greatest lower bounds on Ricci curvature for toric Fano manifolds

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On the limit behavior of metrics in the continuity method for the Kähler–Einstein problem on a toric Fano manifold

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Remarks on logarithmic K-stability

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Greatest lower bounds on the Ricci curvature of Fano manifolds

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Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds

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Special test configuration and \(K\)-stability of Fano varieties

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Liouville Equation and Spherical Convex Polytopes

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Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne

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K-energy maps integrating Futaki invariants

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Point Singularities and Conformal Metrics on Riemann Surfaces

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Testing log K-stability by blowing up formalism

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Geometric analysis of Chow Mumford stability.

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Hyperdiscriminant polytopes, Chow polytopes, and Mabuchi energy asymptotics

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The Dirichlet problem for degenerate complex Monge-Ampère equations

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The Moser-Trudinger inequality on Kähler-Einstein manifolds

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A study of the Hilbert-Mumford criterion for the stability of projective varieties

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Weighted projective embeddings, stability of orbifolds, and constant scalar curvature Kähler metrics

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Kähler-Ricci solitons on toric Fano orbifolds

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The greatest Ricci lower bound, conical Einstein metrics and Chern number inequality

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Note on \(K\)-stability of pairs

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On the Kähler-Ricci flow near a Kähler-Einstein metric

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Regularity of weak solutions of a complex Monge-Ampère equation

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On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)

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ON STABILITY OF THE TANGENT BUNDLES OF FANO VARIETIES

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Bott-Chern forms and geometric stability

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The K-energy on hypersurfaces and stability

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Kähler-Einstein metrics with positive scalar curvature

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Convergence of Kähler-Ricci flow

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Existence of Einstein Metrics on Fano Manifolds

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Prescribing Curvature on Compact Surfaces with Conical Singularities

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Kähler--Ricci solitons on toric manifolds with positive first Chern class

0 references

On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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Identifiers

zbMATH Open document ID

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10.1007/s00220-014-2123-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:406648

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