Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves

被引:0
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作者
M. Bertola
A. Tovbis
机构
[1] Concordia University,Department of Mathematics and Statistics
[2] Université de Montréal,Centre recherches mathématiques
[3] University of Central Florida,Department of Mathematics
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关键词
Real and imaginary normalized differentials; Degenerating Riemann surfaces; Orthogonal polynomials;
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摘要
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.
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页码:1 / 22
页数:21
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