Special metrics in Kähler geometry

DOI10.1007/s40574-020-00234-9zbMath1471.32065OpenAlexW3035684880MaRDI QIDQ2024155

Eleonora Di Nezza

Publication date: 3 May 2021

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-020-00234-9

zbMATH Keywords

Calabi conjecturecomplex Monge-Ampère equation

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Kähler-Einstein manifolds (32Q20) Complex Monge-Ampère operators (32W20)

Cites Work

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• Degenerate complex Monge-Ampère equations
• Monge-Ampère equations in big cohomology classes
• A new capacity for plurisubharmonic functions
• Uniqueness in \(\mathcal E(X,\omega)\)
• The Dirichlet problem for a complex Monge-Ampère equation
• The complex Monge-Ampère equation
• Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity
• Complex Monge-Ampère equations on quasi-projective varieties
• The weighted Monge-Ampère energy of quasiplurisubharmonic functions
• Generalized Monge–Ampère Capacities
• Singular Kähler-Einstein metrics
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Monotonicity of non-pluripolar Monge-Ampere masses
• Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
• Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋
• Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof

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