Book review of: V. Guedj and A. Zeriahi, Degenerate complex Monge-Ampère equations

DOI10.1365/S13291-018-0182-0zbMath1400.00018OpenAlexW2809962913MaRDI QIDQ5970221

Sławomir Kołodziej

Publication date: 23 August 2018

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1365/s13291-018-0182-0

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Kähler-Einstein manifolds (32Q20) Weak solutions to PDEs (35D30) Complex Monge-Ampère operators (32W20) Currents (32U40) External book reviews (00A17) General pluripotential theory (32U15) Capacity theory and generalizations (32U20)

Cites Work

• A variational approach to complex Monge-Ampère equations
• Monge-Ampère equations in big cohomology classes
• A new capacity for plurisubharmonic functions
• The Dirichlet problem for a complex Monge-Ampère equation
• Pluricomplex energy
• Singular Kähler-Einstein metrics

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