The Rigid Body Dynamics in an Ideal Fluid: Clebsch Top and Kummer Surfaces

DOI10.1017/9781108773355.009zbMath1483.37075arXiv1903.00917OpenAlexW2920488564MaRDI QIDQ5164750

Daisuke Tarama, Jean-Pierre Françoise

Publication date: 12 November 2021

Full work available at URL: https://arxiv.org/abs/1903.00917

zbMATH Keywords

Jacobianintegrable Hamiltonian systemK3 surfacesKummer surfacesClebsch tophyperelliptic curve of genus

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Integrable cases of motion in rigid body dynamics (70E40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)

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