E-mail: lesfari@ucd.ac.ma lesfariahmed@yahoo.fr
Abstract.
In this paper, a finite dimensional algebraic completely integrable
system
is considered. We show that the intersection of levels of integrals
completes into an abelian surface (a two dimensional complex algebraic
torus) of polarization $\left( 2,8\right) $ and that the flow of the
system
can be linearized on it.
AMSclassification.
70H06, 37J35, 14H70, 14K20
Keywords.
Integrable systems, curves, abelian
varieties