Publications de l'Institut Mathématique, Nouvelle Série Vol. 91(105), pp. 25–48 (2012) 

ALGEBROGEOMETRIC APPROACH TO THE YANG–BAXTER EQUATION AND RELATED TOPICSVladimir DragovicMathematical Institute SANU, Belgrade, SerbiaAbstract: We review the results of algebrogeometric approach to $4\times 4$ solutions of the Yang–Baxter equation. We emphasis some further geometric properties, connected with the doublereflection 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 (MSC2000): 14H70; 82B23; 37J35; 39A12 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 May 2012. This page was last modified: 12 Jun 2012.
© 2012 Mathematical Institute of the Serbian Academy of Science and Arts
