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.
Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves / Bertola, Marco; Tovbis, A.. - In: ANALYSIS AND MATHEMATICAL PHYSICS. - ISSN 1664-2368. - 5:1(2015), pp. 1-22. [10.1007/s13324-014-0088-7]
Meromorphic differentials with imaginary periods on degenerating hyperelliptic curves
Bertola, Marco;
2015-01-01
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.File in questo prodotto:
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RealDiff-Degeneration-simple-Revised.pdf
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