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JOURNALS // Regular and Chaotic Dynamics // Archive
Regul. Chaotic Dyn., 2000 Volume 5, Issue 1, Pages 67–88 (Mi rcd862)
This article is cited in 1 paper

150th anniversary of S.V. Kovalevskaya

Eigenvectors of Lax Matrices, Spaces of Hyperelliptic Curves and Action Coordinates for Moser Systems

Michèle Audin

Institut de Recherche Mathématique Avancée, Université Louis Pasteur et CNRS, 7 rue René Descartes, 67084 Strasbourg cedex, France

Abstract: We describe a Poisson structure on some open subset of the relative Jacobian of hyperelliptic curves and use eigenvectors of Lax matrices to derive action variables for Moser systems.

MSC: 58F07, 58F05, 14H10, 14Pxx

Received: 01.11.1999

Language: English

DOI: 10.1070/RD2000v005n01ABEH000124



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