Prime Form and Schottky Model

A new efficient variational formula for the Kleinian prime form (factor) in the frame of the Schottky model of Riemann surfaces is presented. We also give an elementary explanation for the choice of the sign in the transformation formula for the prime factor.

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Bibliographic Details
Published in:Computational methods and function theory 2009-04, Vol.9 (1), p.47-55
Main Author: Bogatyrëv, Andrei B.
Format: Article
Language:English
Subjects:
Analysis
Computational Mathematics and Numerical Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
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Summary:A new efficient variational formula for the Kleinian prime form (factor) in the frame of the Schottky model of Riemann surfaces is presented. We also give an elementary explanation for the choice of the sign in the transformation formula for the prime factor.
ISSN:1617-9447
2195-3724
DOI:10.1007/BF03321713