Moments on Riemann surfaces and hyperelliptic Abelian integrals
classification
🧮 math.DS
math.AGmath.CV
keywords
abelianintegralsproblemhyperellipticpolynomialriemannsurfacesvanishing
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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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