2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102029We prove that Prym varieties of algebraic curves with two smooth fixed points of involution are exactly the indecomposable principally polarized abelian varieties whose theta-functions provide explicit formulae for integrable 2D Schrödinger equation.25 pages, Latex, added arguments for the case of singular curvesAlgebraic GeometryMathematical Physicstext