A characterization of Prym varieties

Research paper by I. Krichever

Indexed on: 25 Apr '06Published on: 25 Apr '06Published in: Mathematics - Algebraic Geometry


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 Schr\"odinger equation.