Geodesic
Tetrahedron equation and the algebraic geometry
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 12, Tome 209 (1994), pp. 137-149 Cet article a éte moissonné depuis la source Math-Net.Ru

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The tetrahedron equation arises as a generalization of the famous Yang–Baxter equation to the $2+1$-dimensional quantum field theory and the $3$-dimensionaI statistical mechanics. Very little is still known about its solutions. Here a systematical method is described that does produce nontrivial solutions to the tetrahedron equation with spin-like variables on the links. The essence of the method is the use of the so-called tetrahedral Zamolodchikov algebras. Bibliography: 12 titles. 
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     author = {I. G. Korepanov},
     title = {Tetrahedron equation and the algebraic geometry},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {137--149},
     year = {1994},
     volume = {209},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_209_a7/}
}
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I. G. Korepanov. Tetrahedron equation and the algebraic geometry. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 12, Tome 209 (1994), pp. 137-149. http://geodesic.mathdoc.fr/item/ZNSL_1994_209_a7/