On a Monge-Amp `ere operator for plurisubharmonic functions with\n analytic singularities

2017/05/25 by Mats Andersson, Zbigniew Błocki, Andersson, Mats +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1705.09274

openalex publication_date 2017/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study continuity properties of generalized Monge-Amp `ere operators for\nplurisubharmonic functions with analytic singularities. In particular, we prove\ncontinuity for a natural class of decreasing approximating sequences. We also\nprove a formula for the total mass of the Monge-Amp `ere measure of such a\nfunction on a compact K "ahler manifold.\n

Cited by

• Segre forms of singular metrics on vector bundles and Lelong numbers

Related

• Continuity of the Complex Monge-Ampere Operator on Compact Kahler Manifolds
• Analytical approximations and Monge-Ampère masses of plurisubharmonic singularities
• Plurifinely Plurisubharmonic functions and the Monge Ampère Operator
• Weak convergence of Monge-Ampère measures on compact Hermitian manifolds
• Plurisubharmonic functions with weak singularities