References
Adler, M.; van Moerbeke, P.: Completely integrable systems — A systematic approach towards solving integrable systems. (Preprint 1989)
Adler, M.; van Moerbeke, P.: The algebraic integrability of geodesic flow on so (4). Invent. Math.67, 297–331 (1982)
Arnold, V.I.: Mathematical methods of classical mechanics. Berlin Heidelberg New York: Springer 1978
Barth, W.: Abelian surfaces with (1, 2)-polarization. In: Oda, T. (ed.) Conf. on Alg. Geom. Sendai 1985, pp. 41–84. Amsterdam: North-Holland & Tokyo: Kinokuniya 1987
Barth, W.; Peters, C.; van de Ven, A.: Compact complex surfaces. (Mod. Surv. Math) Berlin Heidelberg New York: Springer 1984
Bechlivanidis, C.; van Moerbeke, P.: The Goryachev Chaplygin top, the Toda lattice and the intersection of 5 quadrics in ℙ7. Commun. Math. Phys.10, 317–324 (1987)
Golubev, V. V.: Lectures on integration of the equation of motion of a rigid body. Moscow: Nauka 1953
Mumford, D.: On the equations defining abelian varieties 1. Invent. Math.1, 287–354 (1966)
Piovan, L.: Algebraically completely integrable systems and Kummer varieties. Thesis, Brandeis University (1989)
Roekaerts, D.; Schwarz, F.: Painléve analysis, Yoshida's theorems and directs methods in the search for integrable Hamiltonians. J. Phys. A, Math. Gen.20, L127-L133 (1987)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Piovan, L.A. Cyclic coverings of abelian varieties and the Goryachev-Chaplygin top. Math. Ann. 294, 755–764 (1992). https://doi.org/10.1007/BF01934352
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01934352