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SEMI-ABELIAN SURFACES AND INTEGRABLE SYSTEMS

Published online by Cambridge University Press:  20 January 2009

Ibrahima Faye
Ibrahima Faye
Affiliation:
Laboratoire Emile Picard, UMR 5580, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse cedex 04, France (faye@picard.ups-tlse.fr)
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Abstract

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We study some weight-homogeneous systems which are not algebraically completely integrable (ACI) in the sense of Adler and van Moerebeke, but whose invariant level surface completes into a semi-abelian variety by adding a set of points (thus ACI in the sense of Mumford).

AMS 2000 Mathematics subject classification: Primary 37J35. Secondary 14H70; 37N05; 70E40

Keywords

integrable systemssemi-abelian surfacesdifferential equationsasymptotic solutionsdivisor of polesweight-homogeneous systems
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 44 , Issue 2 , June 2001 , pp. 249 - 265
Copyright
Copyright © Edinburgh Mathematical Society 2001