Geodesic flow on SO(4), Kac-Moody Lie algebra and singularities in the complex t-plane.

Ahmed Lesfari

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

A special case of the Garnier system, $(1, 4)$ -polarized abelian surfaces and their moduli

Pol Vanhaecke (1994)

Compositio Mathematica

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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.