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Displaying similar documents to “Geodesic flow on SO(4), Kac-Moody Lie algebra and singularities in the complex t-plane.”

The complex geometry of an integrable system

Ahmed Lesfari (2003)

Archivum Mathematicum

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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 2 , 8 and that the flow of the system can be linearized on it.