Extremal potentials and equilibrium measures for collections of Kähler classes

DOI10.1007/s00209-021-02964-8zbMath1487.32204arXiv2106.04626OpenAlexW4206192800MaRDI QIDQ2137861

Jakob Hultgren

Publication date: 11 May 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04626

zbMATH Keywords

variational methodsKähler manifoldscomplex Monge-Ampère equations

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Kähler manifolds (32Q15) Complex Monge-Ampère operators (32W20)

Cites Work

• A variational approach to complex Monge-Ampère equations
• Fekete points and convergence towards equilibrium measures on complex manifolds
• Continuity of the complex Monge-Ampère operator on compact Kähler manifolds
• Growth of balls of holomorphic sections and energy at equilibrium
• The complex Monge-Ampère equation
• Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
• The weighted Monge-Ampère energy of quasiplurisubharmonic functions
• From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit
• Singular Kähler-Einstein metrics
• Coupled Kähler–Einstein Metrics

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