2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148377For a given base scheme, a correspondence is established between a class of sheaves on curves over this base scheme and certain points of infinite Grassmannians. This equivalence extends to a characterization of commutative algebras of ordinary differential operators with coefficients in the ring of formal power series over a given $k$-algebra. Our construction generalizes the approach of M.Mulase, which gives the above connection in the case that the base scheme is one closed point.59 pages LaTeX with inputs of AMSTeX; In addition to some corrections the main change consists in the extension of the Krichever correspondence to all locally noetherian base schemesAlgebraic Geometrytext