A tower of Riemann surfaces whose Bergman kernels jump at the roof

DOI10.2977/PRIMS/14zbMath1205.30009OpenAlexW1979927858MaRDI QIDQ710650

Takeo Ohsawa

Publication date: 20 October 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/14

zbMATH Keywords

Bergman kernelFuchsian groupRiemann surfaceBergman metric

Mathematics Subject Classification ID

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Kernel functions in one complex variable and applications (30C40) Uniformization of complex manifolds (32Q30)

Related Items (4)

Limit of Bergman kernels on a tower of coverings of compact Kähler manifolds ⋮ A tower of coverings of quasi-projective varieties ⋮ Limits of canonical forms on towers of Riemann surfaces ⋮ Effective very ampleness of the canonical line bundles on ball quotients

Cites Work

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• Sequences of metrics on compact Riemann surfaces
• On the extension of L² holomorphic functions V-Effects of generalization

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