CYCLIC COVERINGS OF ABELIAN VARIETIES AND THE GENERALIZED YANG–MILLS SYSTEM FOR A FIELD WITH GAUGE GROUP SU(2)

DOI10.1142/S0219887808003028zbMath1156.70014MaRDI QIDQ5506300

Ahmed Lesfari

Publication date: 28 January 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic functionsinvariant surfacealgebraic completely integrable system

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Algebraic geometry methods for problems in mechanics (70G55)

Cites Work

• Unnamed Item
• Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation
• Completeness of the cubic and quartic Hénon-Heiles hamiltonians
• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• Existence of exponentially unstable periodic solutions and the non- integrability of homogeneous Hamiltonian systems
• Cyclic coverings of abelian varieties and the Goryachev-Chaplygin top
• Integrable systems and symmetric products of curves
• The Arnold-Liouville theorem of and its consequences.
• On the weak Kowalevski-Painlevé property for hyperelliptically separable systems
• Stratifications of hyperelliptic Jacobians and the Sato Grassmannian
• Generalized separability for a Hamiltonian with nonseparable quartic potential
• Integrable quartic potentials and coupled KdV equations
• General solution for Hamiltonians with extended Cubic and quartic potentials
• On the integrability of stationary and restricted flows of the KdV hierarchy
• Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
• Integrability of One Particle in a Perturbed Central Quartic Potential

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