2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74983Let $J$ be the Jacobian of a smooth projective curve. We define a natural action of the Lie algebra of polynomial Hamiltonian vector fields on the plane, vanishing at the origin, on the Chow group of $J$ with rational coefficients. Using this action we obtain some relations between tautological cycles on $J$.AMSLatex, 15 pagesAlgebraic Geometrytext