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arXiv · 1107.3029

Moments on Riemann surfaces and hyperelliptic Abelian integrals

L. Gavrilov·F. Pakovich
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Abstract

In the present paper we solve the following different but interrelated problems: (a) the moment problem on Riemann surfaces, (b) the vanishing problem of polynomial Abelian integrals of dimension zero on the projective plane, (c) the vanishing problem of polynomial hyperelliptic Abelian integrals.

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L. Gavrilov, F. Pakovich. 2011-07-15. Moments on Riemann surfaces and hyperelliptic Abelian integrals. https://arxiv.org/abs/1107.3029

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