Meromorphic Differentials With Imaginary Periods On Degenerating Hyperelliptic Curves

Keywords

Degenerating Riemann surfaces; Orthogonal polynomials; Real and imaginary normalized differentials

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.

Publication Date

3-25-2015

Publication Title

Analysis and Mathematical Physics

Volume

5

Issue

1

Number of Pages

1-22

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s13324-014-0088-7

Socpus ID

84937858517 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84937858517

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