A log canonical threshold test
Alexander Rashkovskii
TL;DR
This paper characterizes plurisubharmonic functions with logarithmic asymptotic behavior using the concept of log canonical thresholds, providing a new criterion for their analysis.
Contribution
It introduces a novel characterization of plurisubharmonic functions based on their log canonical thresholds, linking complex analysis and algebraic geometry.
Findings
Established a criterion for plurisubharmonic functions using log canonical thresholds
Connected asymptotic behavior with algebraic invariants
Provided insights into the structure of functions with logarithmic growth
Abstract
In terms of log canonical threshold, we characterize plurisubharmonic functions with logarithmic asymptotical behaviour.
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Taxonomy
TopicsGeometry and complex manifolds · Holomorphic and Operator Theory · Geometric Analysis and Curvature Flows