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.

Bibliographic Details
Main Authors:	J. Chris Eilbeck, Victor Z. Enolski, Emma Previato
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2007-03-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	(equianharmonic) elliptic integrals Lamé Hermite Halphen equation theta function
Online Access:	http://www.emis.de/journals/SIGMA/2007/045/

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spelling	doaj-21e93852b5984d1c8cdf188b0f6b3c1b2020-11-24T21:06:02ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-03-013045Spectral Curves of Operators with Elliptic CoefficientsJ. Chris EilbeckVictor Z. EnolskiEmma PreviatoA 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.http://www.emis.de/journals/SIGMA/2007/045/(equianharmonic) elliptic integralsLaméHermiteHalphen equationtheta function
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	J. Chris Eilbeck Victor Z. Enolski Emma Previato
spellingShingle	J. Chris Eilbeck Victor Z. Enolski Emma Previato Spectral Curves of Operators with Elliptic Coefficients Symmetry, Integrability and Geometry: Methods and Applications (equianharmonic) elliptic integrals Lamé Hermite Halphen equation theta function
author_facet	J. Chris Eilbeck Victor Z. Enolski Emma Previato
author_sort	J. Chris Eilbeck
title	Spectral Curves of Operators with Elliptic Coefficients
title_short	Spectral Curves of Operators with Elliptic Coefficients
title_full	Spectral Curves of Operators with Elliptic Coefficients
title_fullStr	Spectral Curves of Operators with Elliptic Coefficients
title_full_unstemmed	Spectral Curves of Operators with Elliptic Coefficients
title_sort	spectral curves of operators with elliptic coefficients
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2007-03-01
description	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.
topic	(equianharmonic) elliptic integrals Lamé Hermite Halphen equation theta function
url	http://www.emis.de/journals/SIGMA/2007/045/
work_keys_str_mv	AT jchriseilbeck spectralcurvesofoperatorswithellipticcoefficients AT victorzenolski spectralcurvesofoperatorswithellipticcoefficients AT emmapreviato spectralcurvesofoperatorswithellipticcoefficients
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Spectral Curves of Operators with Elliptic Coefficients

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