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Abstract for MSRI Preprint 2000-022

Abelian Solitons

Ron Y. Donagi and Emma Previato

We describe a new algebraically completely integrable system, whose integral manifolds are co-elliptic subvarieties of Jacobian varieties. This is a multi-periodic extension of the Krichever-Treibich-Verdier system, which consists of elliptic solitons.