Duke Mathematical Journal
- Duke Math. J.
- Volume 152, Number 2 (2010), 317-371.
Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants
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
Duke Math. J. Volume 152, Number 2 (2010), 317-371.
First available in Project Euclid: 31 March 2010
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Grushevsky, Samuel; Krichever, Igor. Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants. Duke Math. J. 152 (2010), no. 2, 317--371. doi:10.1215/00127094-2010-014. https://projecteuclid.org/euclid.dmj/1270041110.