Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves

    Authors

    M. Bertola;A. Tovbis

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Anal. Math. Phys.

    Keywords

    Real and imaginary normalized differentials; Degenerating Riemann; surfaces; Orthogonal polynomials; Mathematics, Applied; Mathematics

    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 Title

    Analysis and Mathematical Physics

    Volume

    5

    Issue/Number

    1

    Publication Date

    1-1-2015

    Document Type

    Article

    Language

    English

    First Page

    1

    Last Page

    22

    WOS Identifier

    WOS:000354132900001

    ISSN

    1664-2368

    Share

    COinS