Spectral curves of operators with elliptic coefficients

John Christopher Eilbeck; V. Z Enolskii; E. Previato

doi:10.3842/SIGMA.2007.045

Spectral curves of operators with elliptic coefficients

John Christopher Eilbeck, V. Z Enolskii, E. Previato

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

7 Citations (Scopus)

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

Original language	English
Article number	045
Number of pages	17
Journal	Symmetry, Integrability and Geometry: Methods and Applications
Volume	3
DOIs	https://doi.org/10.3842/SIGMA.2007.045
Publication status	Published - 2007

Keywords

(equianharmonic) elliptic integrals
Halphen equation
Hermite
Lamé
Theta function

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10.3842/SIGMA.2007.045

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title = "Spectral curves of operators with elliptic coefficients",

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 Lam{\'e} curves with double reduction and in the explicit reduction of the theta function of a Halphen curve.",

keywords = "(equianharmonic) elliptic integrals, Halphen equation, Hermite, Lam{\'e}, Theta function",

author = "Eilbeck, {John Christopher} and Enolskii, {V. Z} and E. Previato",

year = "2007",

doi = "10.3842/SIGMA.2007.045",

language = "English",

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AU - Eilbeck, John Christopher

AU - Enolskii, V. Z

AU - Previato, E.

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KW - (equianharmonic) elliptic integrals

KW - Halphen equation

KW - Hermite

KW - Lamé

KW - Theta function

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U2 - 10.3842/SIGMA.2007.045

DO - 10.3842/SIGMA.2007.045

M3 - Article

SN - 1815-0659

VL - 3

JO - Symmetry, Integrability and Geometry: Methods and Applications

JF - Symmetry, Integrability and Geometry: Methods and Applications

M1 - 045

ER -

Spectral curves of operators with elliptic coefficients

Abstract

Keywords

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