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

Grushevsky, Samuel; Krichever, Igor

Duke Math. J., Tome 151 (2010) no. 1, p. 317-371 / Harvested from Project Euclid

Résumé

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

Publié le : 2010-04-01
Classification: 14H40, 37K10

@article{1270041110,
     author = {Grushevsky, Samuel and Krichever, Igor},
     title = {Integrable discrete Schr\"odinger equations and a characterization of Prym varieties by a pair of quadrisecants},
     journal = {Duke Math. J.},
     volume = {151},
     number = {1},
     year = {2010},
     pages = { 317-371},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270041110}
}

Grushevsky, Samuel; Krichever, Igor. Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants. Duke Math. J., Tome 151 (2010) no. 1, pp.  317-371. http://gdmltest.u-ga.fr/item/1270041110/