Cyclic coverings of abelian varieties and the Goryachev-Chaplygin top

DOI10.1007/BF01934352zbMath0778.14007MaRDI QIDQ1196006

Luis A. Piovan

Publication date: 12 January 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165028

zbMATH Keywords

birational invariantsalgebraic complete integrable systeminvariant surfaces of general type

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Surfaces of general type (14J29)

Related Items (4)

Integrable systems and complex geometry ⋮ Algebraic integrability: the Adler-Van Moerbeke approach ⋮ A singularity analysis of some integrable systems. ⋮ CYCLIC COVERINGS OF ABELIAN VARIETIES AND THE GENERALIZED YANG–MILLS SYSTEM FOR A FIELD WITH GAUGE GROUP SU(2)

Cites Work

• The algebraic integrability of geodesic flow on SO(4)
• The Goryachev-Chaplygin top and the Toda lattice
• Algebraically completely integrable systems and Kummer varieties
• On the equations defining Abelian varieties. I-III
• Painleve analysis, Yoshida's theorems and direct methods in the search for integrable Hamiltonians
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