Title
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
Copyright Status
Unknown
Socpus ID
84937858517 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84937858517
STARS Citation
Bertola, M. and Tovbis, A., "Meromorphic Differentials With Imaginary Periods On Degenerating Hyperelliptic Curves" (2015). Scopus Export 2015-2019. 26.
https://stars.library.ucf.edu/scopus2015/26