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A characterization of Prym varieties

I. Krichever
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Abstract

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.

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I. Krichever. 2006-04-26. A characterization of Prym varieties. https://arxiv.org/abs/math/0506238

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