Geodesic
Nonlinear equations and elliptic curves
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 23 (1983), pp. 79-136
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The main ideas of global finite-zone integration are presented, and a detailed analysis is given of applications of the technique developed to some problems based on the theory of elliptic functions. In the work the Peierls model is integrated as an important application of the algebrogeometric spectral theory of difference operators. 
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     author = {I. M. Krichever},
     title = {Nonlinear equations and elliptic curves},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {79--136},
     year = {1983},
     volume = {23},
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     url = {http://geodesic.mathdoc.fr/item/INTD_1983_23_a2/}
}
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I. M. Krichever. Nonlinear equations and elliptic curves. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki", Tome 23 (1983), pp. 79-136. http://geodesic.mathdoc.fr/item/INTD_1983_23_a2/