Volumes on Complex Analytic Spaces
Steven Dale Cutkosky
TL;DR
This paper proves the existence of volumes and related limits for line bundles and graded linear series on compact reduced complex analytic spaces, advancing the understanding of their geometric properties.
Contribution
It establishes the existence of volumes and limits in terms of the Kodaira-Iitaka dimension for complex analytic spaces, a significant extension of algebraic geometry results.
Findings
Volumes and limits exist for line bundles on complex analytic spaces
Results connect volumes with Kodaira-Iitaka dimension
Advances understanding of complex analytic geometry
Abstract
We show that volumes and related limits in terms of the Kodaira-Iitaka dimension exist for line bundles and graded linear series on compact reduced complex analytic spaces.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds