Geodesic
The complex geometry of an integrable system
Archivum mathematicum, Tome 39 (2003) no. 4, pp. 257-270
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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.
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.
Classification : 14H70, 37J35, 70G55, 70H06
Keywords: integrable systems; curves; abelian varieties 
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Lesfari, Ahmed. The complex geometry of an integrable system. Archivum mathematicum, Tome 39 (2003) no. 4, pp. 257-270. http://geodesic.mathdoc.fr/item/ARM_2003_39_4_a0/

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