Spectral Curves of Operators with Elliptic Coefficients
Mathematical Physics
2008-04-24 v1 Algebraic Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
A computer-algebra aided method is carried out, for determining geometric objects associated to differential operators that satisfy the elliptic ansatz. This results in examples of Lame curves with double reduction and in the explicit reduction of the theta function of a Halphen curve.
Keywords
Cite
@article{arxiv.math-ph/0703038,
title = {Spectral Curves of Operators with Elliptic Coefficients},
author = {J. Chris Eilbeck and Victor Z. Enolski and Emma Previato},
journal= {arXiv preprint arXiv:math-ph/0703038},
year = {2008}
}
Comments
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/