Plurifinely open sets and complex Monge-Amp\`ere measures
Nguyen Xuan Hong
TL;DR
This paper explores the structure of plurifinely open sets and establishes an equality involving complex Monge-Ampère measures within these sets, advancing understanding in pluripotential theory.
Contribution
It introduces new insights into plurifinely open sets and proves an important equality for complex Monge-Ampère measures in this context.
Findings
Characterization of plurifinely open sets
Proof of an equality for Monge-Ampère measures in these sets
Enhanced understanding of pluripotential theory
Abstract
The aim of the paper is to investigate the structure of plurifinely open sets. As an application, we will prove an equality on complex Monge-Amp\`ere measures in plurifinely open sets.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory