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oai:recercat.cat:2072/4524592024-06-06T09:44:07Zcom_2072_98col_2072_378195

00925njm 22002777a 4500 dc Cristopher, Colin author Llibre, Jaume author Pantazi, Chara author Walcher, Sebastian author Centre de Recerca Matemàtica author 2007 Given an algebraic curve in the complex affine plane, we describe how to determine all planar polynomial vector fields which leave this curve invariant. If all (finite) singular points of the curve are nondegenerate, we give an explicit expression for these vector fields. In the general setting we provide an algorithmic approach, and as an alternative we discuss sigma processes. Corbes algèbriques Equacions diferencials Inverse problems for invariant algebraic curves : explicit computations