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.
机构:
Moscow State Institute of Radioengineering, Electronics and Automation, MoscowMoscow State Institute of Radioengineering, Electronics and Automation, Moscow
Artamkin I.V.
Levitskaya Y.A.
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机构:
Moscow State University, MoscowMoscow State Institute of Radioengineering, Electronics and Automation, Moscow
Levitskaya Y.A.
Shabat G.B.
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h-index: 0
机构:
Russian State University for the Humanities, MoscowMoscow State Institute of Radioengineering, Electronics and Automation, Moscow