A Tower of Riemann Surfaces whose Bergman Kernels Jump at the Roof | Zendy

Takeo Ohsawa | Zendy

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A Tower of Riemann Surfaces whose Bergman Kernels Jump at the Roof

Author(s) -

Takeo Ohsawa

Publication year - 2010

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/14

Subject(s) - mathematics , tower , jump , riemann surface , riemann hypothesis , bergman kernel , roof , mathematical analysis , pure mathematics , geometry , structural engineering , physics , engineering , quantum mechanics

It is shown that, for any Fuchsian group acting on the complex upper half plane H such that H= is a compact hyperelliptic Riemann surface, there exists a sequence of subgroups n ( n = 1; 2;::: ) satisfying 1 = and T1=1 n =fidg such that the associated sequence of the Bergman kernels ofH= n , pulled back toH, does not converge to the Bergman kernel ofH.

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