Algebro-geometric Approach to the Yang-Baxter Equation and Related Topics
Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 25 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We review the results of algebro-geometric approach to $4\times 4$ solutions of the Yang-Baxter equation. We emphasis some further geometric properties, connected with the double-reflection theorem, the Poncelet porism and the Euler-Chasles correspondence. We present a list of classifications in Mathematical Physics with a similar geometric background, related to pencils of conics. In the conclusion, we introduce a notion of discriminantly factorizable polynomials as a result of a computational experiment with elementary $n$-valued groups.
Classification : 14H70 82B23 37J35 39A12
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     author = {Vladimir Dragovi\'c},
     title = {Algebro-geometric {Approach} to the {Yang-Baxter} {Equation} and {Related} {Topics}},
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Vladimir Dragović. Algebro-geometric Approach to the Yang-Baxter Equation and Related Topics. Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 25 . http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a3/