On the complex Monge–Ampère operator for quasi‐plurisubharmonic functions with analytic singularities

DOI10.1112/blms.12239zbMath1422.32040OpenAlexW2912364050MaRDI QIDQ4968391

Zbigniew Błocki

Publication date: 12 July 2019

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms.12239

zbMATH Keywords

Kähler manifoldanalytic singularitiesplurisubharmonic functionscomplex Monge-Ampère equation

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Local complex singularities (32S05) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

Related Items (5)

On Lelong numbers of generalized Monge-Ampère products ⋮ On a mixed Monge–Ampère operator for quasiplurisubharmonic functions with analytic singularities ⋮ Geometric methods of complex analysis. Abstracts from the workshop held May 16--22, 2021 (hybrid meeting) ⋮ Non-pluripolar energy and the complex Monge-Ampère operator ⋮ Strongly pseudo-effective and numerically flat reflexive sheaves

Cites Work

• Green functions, Segre numbers, and King's formula
• Sums of continuous plurisubharmonic functions and the complex Monge- Ampère operator in \({\mathbb{C}}^ n\)
• On the definition of the Monge-Ampère operator in \(\mathbb{C}^2\)
• Equlibrium measure of a product subset of ℂⁿ
• On a Monge-Ampere operator for plurisubharmonic functions with analytic singularities
• Chern forms of Hermitian metrics with analytic singularities on vector bundles
• Pluricomplex Green's functions and Fano manifolds
• The domain of definition of the complex Monge-Ampere operator

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