The complex geometry of an integrable system
Lesfari, Ahmed
Archivum Mathematicum, Tome 039 (2003), p. 257-270 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 2003-01-01
Classification:  14H70,  37J35,  70G55,  70H06
@article{107873,
     author = {Ahmed Lesfari},
     title = {The complex geometry of an integrable system},
     journal = {Archivum Mathematicum},
     volume = {039},
     year = {2003},
     pages = {257-270},
     zbl = {1110.70022},
     mrnumber = {2028736},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107873}
}
Lesfari, Ahmed. The complex geometry of an integrable system. Archivum Mathematicum, Tome 039 (2003) pp. 257-270. http://gdmltest.u-ga.fr/item/107873/

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