Moments on Riemann surfaces and hyperellipticAbelian integrals

Lubomir Gavrilov; Fedor Pakovich

doi:https://doi.org/10.4171/CMH/314

Moments on Riemann surfaces and hyperellipticAbelian integrals

Lubomir Gavrilov, Fedor Pakovich

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	American English
Pages (from-to)	125-155
Number of pages	31
Journal	Commentarii Mathematici Helvetici
Volume	89
Issue number	1
DOIs	https://doi.org/10.4171/CMH/314
State	Published - 27 Mar 2014

Keywords

Abelian integrals
Moment problem

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.4171/CMH/314

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title = "Moments on Riemann surfaces and hyperellipticAbelian integrals",

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

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author = "Lubomir Gavrilov and Fedor Pakovich",

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M3 - Article

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Moments on Riemann surfaces and hyperellipticAbelian integrals

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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