Kodama, Y.Konopelchenko, BorisMartínez Alonso, Luis2023-06-202023-06-202005-070040-577910.1007/s11232-005-0123-9https://hdl.handle.net/20.500.14352/51649©2005 Springer Science+Business Media, Inc. One of the authors (L. M. A.) thanks the members of the Physics Department of Lecce University for their warm hospitality. This work was supported in part by the DGCYT (Project No. BFM2002-01607), COFIN (Grant 2002 “Sintesi”), and the National Science Foundation (Grant No. DMS-0404931).We present a general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations. We emphasize the use of several types of dynamical variables: branches, power sums, and potentials.engjournal articlehttp://dx.doi.org/10.1007/s11232-005-0123-9http://link.springer.comhttp://arxiv.org/abs/nlin/0409063open access51-73Algebraic curvesIntegrable systemsLenard relationsFísica-Modelos matemáticosFísica matemática