ACC for log canonical thresholds for complex analytic spaces
Osamu Fujino
TL;DR
This paper proves that the set of log canonical thresholds for complex analytic spaces satisfies the ascending chain condition, ensuring no infinite strictly increasing sequences exist.
Contribution
It establishes the ACC property for log canonical thresholds specifically in the context of complex analytic spaces, extending known results.
Findings
Log canonical thresholds satisfy ACC in complex analytic spaces
No infinite increasing sequences of thresholds exist in this setting
Provides a foundational result for singularity theory in complex analysis
Abstract
We show that log canonical thresholds for complex analytic spaces satisfy the ACC.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Geometry and complex manifolds