Hyperelliptic Prym varieties and integrable systems

DOI10.1007/s002200100476zbMath0991.37038arXivmath-ph/0011051OpenAlexW2002398310MaRDI QIDQ5953645

Pol Vanhaecke, Rui Loja Fernandes

Publication date: 27 January 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0011051

zbMATH Keywords

algebraic completely integrable systemshyperelliptic Prym systemsmomentum mapperiodic Volterra lattice

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Jacobians, Prym varieties (14H40) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items

Lotka-Volterra systems satisfying a strong Painlevé property ⋮ Some Poisson structures and Lax equations associated with the Toeplitz lattice and the Schur lattice ⋮ Quasi-Poisson structures and integrable systems related to the moduli space of flat connections on a punctured Riemann sphere ⋮ Morphisms and automorphisms of skew-symmetric Lotka–Volterra systems* ⋮ Modular classes of Poisson-Nijenhuis Lie algebroids ⋮ Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system ⋮ Jacobian variety and integrable system -- after Mumford, Beauville and Vanhaecke ⋮ Algebraic integrability: an introduction ⋮ Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems ⋮ Reduction and realization in Toda and Volterra ⋮ From the Toda lattice to the Volterra lattice and back ⋮ Generic hyperelliptic Prym varieties in a generalized Hénon-Heiles system ⋮ Algebraic integrable systems related to spectral curves with automorphisms ⋮ Poisson involutions, spin Calogero-Moser systems associated with symmetric Lie subalgebras and the symmetric space spin Ruijsenaars-Schneider models ⋮ Dirac submanifolds and Poisson involutions ⋮ Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems ⋮ Integration of holomorphic Lie algebroids ⋮ Matrix resolvent and the discrete KdV hierarchy

This page was built for publication: Hyperelliptic Prym varieties and integrable systems