Moments on Riemann surfaces and hyperelliptic Abelian integrals

Details Moments on Riemann surfaces and hyperelliptic Abelian integrals Moments on Riemann surfaces and hyperelliptic Abelian integrals

2011-07-15

arxiv.org/abs/1107.3029v1

Mathematics

Dynamical Systems

25 pages, 8 Figures

Scientific paper

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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