%0 Journal Article
%T On Quadrirational Yang-Baxter Maps
%A V.G. Papageorgiou
%A Yu.B. Suris
%A A.G. Tongas
%A A.P. Veselov
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2010
%I National Academy of Science of Ukraine
%X We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain singularity invariance condition. This leads to some new families of Yang-Baxter maps corresponding to the geometric symmetries of pencils of quadrics.
%K Yang-Baxter maps
%K birational maps
%K integrability
%U http://dx.doi.org/10.3842/SIGMA.2010.033