Lelong numbers and vector bundles
Bo Berndtsson
TL;DR
This paper investigates the properties of Lelong numbers and integrability indices associated with $S^1$-invariant singular metrics on vector bundles over the disk, providing insights into their behavior and applications.
Contribution
It introduces a detailed analysis of Lelong numbers and integrability indices specifically for $S^1$-invariant singular metrics on vector bundles, expanding understanding in this area.
Findings
Characterization of Lelong numbers for $S^1$-invariant metrics
Relationships between integrability indices and singularities
Applications to vector bundle theory
Abstract
We study Lelong numbers and integrability indices for -invariant singular metrics on vector bundles over the disk.
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Taxonomy
TopicsGeometry and complex manifolds · Holomorphic and Operator Theory · Advanced Algebra and Geometry