Geodesic
Vacuum curves and classical integrable systems in $2+1$ discrete dimensions
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 273-286 
I. G. Korepanov. Vacuum curves and classical integrable systems in $2+1$ discrete dimensions. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 273-286. http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a14/
@article{ZNSL_1996_235_a14,
     author = {I. G. Korepanov},
     title = {Vacuum curves and classical integrable systems in $2+1$ discrete dimensions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {273--286},
     year = {1996},
     volume = {235},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a14/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A dynamical system in discrete time is studied by means of algebraic geometry. This system has reductions which can be interpreted as classical field theory in the $2+1$ discrete space-time. The study is based on the technique of vacuum curves and vacuum vectors. The evolution of the system has hyperbolic character, i.e., has a finite propagation speed. Bibl. 10 titles.