Closed geodesics and pluricanonical sections on ball quotients
Tatyana Barron
TL;DR
This paper studies the asymptotic behavior of pluricanonical sections on ball quotients linked to closed geodesics, establishing nonvanishing results and advancing understanding of their geometric properties.
Contribution
It provides new asymptotic formulas for pluricanonical sections on ball quotients associated with closed geodesics, including nonvanishing results.
Findings
Asymptotic formulas for pluricanonical sections
Nonvanishing of sections on ball quotients
Insights into geometric structures of ball quotients
Abstract
We obtain asymptotics of sequences of the holomorphic sections of the pluricanonical bundles on ball quotients associated to closed geodesics. A nonvanishing result follows.
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Geometric Analysis and Curvature Flows