Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves

DOI10.1070/RM10007zbMath1484.14072OpenAlexW3209616635WikidataQ114102377 ScholiaQ114102377MaRDI QIDQ5069052

Victor M. Buchstaber, Alexander V. Mikhailov

Publication date: 8 April 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm10007

zbMATH Keywords

Korteweg-de Vries hierarchyStäckel systemspolynomial Hamiltonian systemsabelian functionssymmetric powers of curvessystems of hydrodynamical type

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Theta functions and abelian varieties (14K25) Relationships between algebraic curves and integrable systems (14H70)

Related Items (2)

The Mumford dynamical system and hyperelliptic Kleinian functions ⋮ Parametric Korteweg-de Vries hierarchy and hyperelliptic sigma functions

This page was built for publication: Integrable polynomial Hamiltonian systems and symmetric powers of plane algebraic curves