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Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves

Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves We provide a direct and explicit proof that imaginary (real) normalized differentials of the second kind with prescribed polar part do not develop additional singularities as the underlying hyperelliptic Riemann surface degenerates in an arbitrary way. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves

Analysis and Mathematical Physics , Volume 5 (1) – Aug 26, 2014

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Basel
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-014-0088-7
Publisher site
See Article on Publisher Site

Abstract

We provide a direct and explicit proof that imaginary (real) normalized differentials of the second kind with prescribed polar part do not develop additional singularities as the underlying hyperelliptic Riemann surface degenerates in an arbitrary way.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Aug 26, 2014

References