Differentiation of genus 3 hyperelliptic functions

DOI10.1007/s40879-017-0173-1zbMath1388.14095arXiv1703.03947OpenAlexW2605095276MaRDI QIDQ1746621

Elena Yu. Bunkova

Publication date: 25 April 2018

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03947

zbMATH Keywords

hyperelliptic curveselliptic functionsJacobianspolynomial vector fieldshyperelliptic functionsLie algebra of derivationsabelian functions

Mathematics Subject Classification ID

Elliptic curves (14H52) Elliptic genera (58J26) Elliptic functions and integrals (33E05) Automorphic functions (32N99)

Related Items (6)

Hyperelliptic sigma functions and Adler-Moser polynomials ⋮ Explicit formulas for differentiation of hyperelliptic functions ⋮ Lie algebras of heat operators in a nonholonomic frame ⋮ Parametric Korteweg-de Vries hierarchy and hyperelliptic sigma functions ⋮ Sigma functions and Lie algebras of Schrödinger operators ⋮ On the problem of differentiation of hyperelliptic functions

Cites Work

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• Polynomial dynamical systems and the Korteweg-de Vries equation
• Solution of the problem of differentiation of abelian functions over parameters for families of \((n, s)\)-curves
• Polynomial Lie algebras
• Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves

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