Measures of finite energy in pluripotential theory: a synthetic approach

DOI10.1090/conm/810/16207MaRDI QIDQ6670013

Sébastien Boucksom, Mattias Jonsson

Publication date: 22 January 2025

zbMATH Keywords

Berkovich spacemeasures of finite energypluripotential theory, compact Kähler manifold

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Notions of stability for complex manifolds (32Q26)

Cites Work

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• A variational approach to complex Monge-Ampère equations
• A tropical approach to nonarchimedean Arakelov geometry
• The arithmetic Hodge index theorem for adelic line bundles
• Intrinsic capacities on compact Kähler manifolds
• The Mabuchi geometry of finite energy classes
• Growth of balls of holomorphic sections and energy at equilibrium
• Extremal Kähler metrics and complex deformation theory
• K-semistability is equivariant volume minimization
• Uniform \(K\)-stability, Duistermaat-Heckman measures and singularities of pairs
• K-stability for Kähler manifolds
• K-semistability of cscK manifolds with transcendental cohomology class
• On Zhang's semipositive metrics
• Positivity properties of metrics and delta-forms
• Optimal lower bounds for Donaldson's J-functional
• Tropical and non-Archimedean limits of degenerating families of volume forms
• Finite entropy vs finite energy
• Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy
• On the extension of quasiplurisubharmonic functions
• Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry
• Convexity of the extended K-energy and the large time behavior of the weak Calabi flow
• Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
• A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
• A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics
• The weighted Monge-Ampère energy of quasiplurisubharmonic functions
• Stetige streng pseudokonvexe Funktionen
• The asymptotic Fubini-Study operator over general non-Archimedean fields
• Openness of uniformly valuative stability on the Kähler cone of projective manifolds
• Valuative stability of polarised varieties
• Singular semipositive metrics in non-Archimedean geometry
• Metrization of Differential Pluriforms on Berkovich Analytic Spaces
• Regularizing Properties of the Kähler–Ricci Flow
• Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics
• On regularization of plurisubharmonic functions on manifolds
• Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines
• Uniqueness and stability for the complex Monge-Ampere equation on compact Kahler manifolds
• Uniform Stability of Twisted Constant Scalar Curvature Kähler Metrics
• Positive Line Bundles on Arithmetic Varieties
• Geodesic rays and stability in the lowercase cscK problem
• Differentiability of Relative Volumes Over an Arbitrary Non-Archimedean Field
• Regularity of weak minimizers of the K-energy and applications to properness and K-stability
• On the constant scalar curvature Kähler metrics (II)—Existence results
• A variational approach to the Yau–Tian–Donaldson conjecture
• Solution to a non-Archimedean Monge-Ampère equation
• Mesures et équidistribution sur les espaces de Berkovich
• On Certain Contraction Mappings in a Partially Ordered Vector Space
• Finite pluricomplex energy measures
• A non-Archimedean approach to K-stability. II: Divisorial stability and openness
• Global pluripotential theory over a trivially valued field
• Metric SYZ conjecture and non-Archimedean geometry

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