2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63072The Krichever construction in one variable, that is, for spectral curves, linearizes the KdV-hierarchy on the jacobian of the curve. We carry out an appropriate generalization of the Krichever construction for an arbitrary projective variety $X$ and determine the corresponding nonlinear dynamics, which are then linearized on an extension of $Pic^0(X)$.Algebraic GeometryMathematical PhysicsPrimary 35Q53 ; Secondary 35A27, 58F07, 14K05text