Higher Lelong numbers versus full Monge-Amp\`ere mass
Do Duc Thai, Duc-Viet Vu
TL;DR
This paper proves a conjecture linking higher Lelong numbers to full Monge-Ampère mass, advancing understanding in complex geometry and pluripotential theory.
Contribution
It establishes a rigorous connection between higher Lelong numbers and the concept of full Monge-Ampère mass, confirming a recent conjecture.
Findings
Confirmed the conjecture relating higher Lelong numbers to Monge-Ampère mass
Provided new insights into complex geometric measures
Enhanced theoretical understanding of pluripotential theory
Abstract
We prove a recent conjecture of Chi Li relating the notion of higher Lelong numbers to that of full Monge-Amp\`ere mass.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows