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Double Coverings of Non-orientable Riemann Surfaces Ramified over Discrete Sets

Double Coverings of Non-orientable Riemann Surfaces Ramified over Discrete Sets We find an upper bound for the number of non-equivalent twofold coverings of closed non-orientable surfaces with conformal structures, ramified over sets with isolated points, by a given surface of topological genus $$g \ge 3$$ g ≥ 3 with such structure and we characterize configurations for which our bounds are attained. We split our study according to whether the covering surface is symmetric or not and whether the corresponding coverings are decomposable or not in a suitable sense. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Double Coverings of Non-orientable Riemann Surfaces Ramified over Discrete Sets

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-014-0068-9
Publisher site
See Article on Publisher Site

Abstract

We find an upper bound for the number of non-equivalent twofold coverings of closed non-orientable surfaces with conformal structures, ramified over sets with isolated points, by a given surface of topological genus $$g \ge 3$$ g ≥ 3 with such structure and we characterize configurations for which our bounds are attained. We split our study according to whether the covering surface is symmetric or not and whether the corresponding coverings are decomposable or not in a suitable sense.

Journal

Computational Methods and Function TheorySpringer Journals

Published: May 27, 2014

References