Geometry of Yang--Baxter maps: pencils of conics and quadrirational mappings

V. E. Adler, A. I. Bobenko, Yu. B. Suris

Birational Yang-Baxter maps (`set-theoretical solutions of the Yang-Baxter equation') are considered. A birational map $(x,y)\mapsto (u,v)$ is called quadrirational, if its graph is…