Moments on Riemann surfaces and hyperelliptic Abelian integrals
Dynamical Systems
2011-07-18 v1 Algebraic Geometry
Complex Variables
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.
Keywords
Cite
@article{arxiv.1107.3029,
title = {Moments on Riemann surfaces and hyperelliptic Abelian integrals},
author = {L. Gavrilov and F. Pakovich},
journal= {arXiv preprint arXiv:1107.3029},
year = {2011}
}
Comments
25 pages, 8 Figures