Spectral Curves of Operators with Elliptic Coefficients

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 Lamé curves with double reduction and in the explicit reduction of the theta function of a Halphen curve.

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Bibliographic Details
Date:2007
Main Authors: Eilbeck, J.C., Enolski, V.Z., Previato, E.
Format: Article
Language:English
Published: Інститут математики НАН України 2007
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/147818
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Spectral Curves of Operators with Elliptic Coefficients / J.C. Eilbeck, V.Z. Enolski, E. Previato // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 37 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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 Lamé curves with double reduction and in the explicit reduction of the theta function of a Halphen curve.