1 April 2010 Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants
Samuel Grushevsky, Igor Krichever
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Duke Math. J. 152(2): 317-371 (1 April 2010). DOI: 10.1215/00127094-2010-014

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. "Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants." Duke Math. J. 152 (2) 317 - 371, 1 April 2010. https://doi.org/10.1215/00127094-2010-014

Information

Published: 1 April 2010
First available in Project Euclid: 31 March 2010

zbMATH: 1217.14022
MathSciNet: MR2656091
Digital Object Identifier: 10.1215/00127094-2010-014

Subjects:
Primary: 14H40
Secondary: 37K10

Rights: Copyright © 2010 Duke University Press

Vol.152 • No. 2 • 1 April 2010
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