Integrable discrete Schrodinger equations and a characterization of Prym varieties by a pair of quadrisecants

Details Integrable discrete Schrodinger equations and a characterization of Prym varieties by a pair of quadrisecants Integrable discrete Schrodinger equations and a characterization of Prym varieties by a pair of quadrisecants

2007-05-19

arxiv.org/abs/0705.2829v1

Mathematics

Algebraic Geometry

Scientific paper

We prove that Prym varieties are characterized geometrically by the existence
of a symmetric pair of quadrisecant planes of the associated Kummer variety. We
also show that Prym varieties are characterized by certain (new)
theta-functional equations. For this purpose we construct and study a
difference-differential analog of the Novikov-Veselov hierarchy.

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