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arXiv · 0705.2829

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

Samuel Grushevsky·Igor Krichever
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Abstract

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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Samuel Grushevsky, Igor Krichever. 2007-05-19. Integrable discrete Schrodinger equations and a characterization of Prym varieties by a pair of quadrisecants. https://doi.org/10.1215/00127094-2010-014

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