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).
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Univ Paris 06, Inst Math Jussieu Paris Rive Gauche, Case 247, F-75252 Paris 05, FranceUniv Paris 06, Inst Math Jussieu Paris Rive Gauche, Case 247, F-75252 Paris 05, France
Bertrand, D.
Masser, D.
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Univ Basel, Math Inst, Rheinsprung 21, CH-4051 Basel, SwitzerlandUniv Paris 06, Inst Math Jussieu Paris Rive Gauche, Case 247, F-75252 Paris 05, France
Masser, D.
Pillay, A.
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Univ Notre Dame, Dept Math, 281 Hurley Hall, Notre Dame, IN 46556 USAUniv Paris 06, Inst Math Jussieu Paris Rive Gauche, Case 247, F-75252 Paris 05, France
Pillay, A.
Zannier, U.
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Scuola Normale Super Pisa, Cl Sc Matemat, Piazza Cavalieri 7, I-56126 Pisa, ItalyUniv Paris 06, Inst Math Jussieu Paris Rive Gauche, Case 247, F-75252 Paris 05, France