Algebro-geometric Approach to the Yang–baxter Equation and Related Topics
نویسنده
چکیده
We review the results of algebro-geometric approach to 4× 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.
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