A characterization of Prym varieties
Abstract
Description
We 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 curves
25 pages, Latex, added arguments for the case of singular curves