The complex geometry of an integrable system

Ahmed Lesfari

Archivum Mathematicum (2003)

  • Volume: 039, Issue: 4, page 257-270
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Lesfari, Ahmed. "The complex geometry of an integrable system." Archivum Mathematicum 039.4 (2003): 257-270. <http://eudml.org/doc/249126>.

@article{Lesfari2003,
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.},
author = {Lesfari, Ahmed},
journal = {Archivum Mathematicum},
keywords = {integrable systems; curves; abelian varieties; abelian varieties; linearized flow; complex algebraic torus},
language = {eng},
number = {4},
pages = {257-270},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The complex geometry of an integrable system},
url = {http://eudml.org/doc/249126},
volume = {039},
year = {2003},
}

TY - JOUR
AU - Lesfari, Ahmed
TI - The complex geometry of an integrable system
JO - Archivum Mathematicum
PY - 2003
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 039
IS - 4
SP - 257
EP - 270
AB - 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.
LA - eng
KW - integrable systems; curves; abelian varieties; abelian varieties; linearized flow; complex algebraic torus
UR - http://eudml.org/doc/249126
ER -

References

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