A characterization of Prym varieties

Details A characterization of Prym varieties A characterization of Prym varieties

2005-06-13

arxiv.org/abs/math/0506238v2

Mathematics

Algebraic Geometry

25 pages, Latex, added arguments for the case of singular curves

Scientific paper

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.

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