Geodesic
On Quadrirational Yang–Baxter Maps
Symmetry, integrability and geometry: methods and applications, Tome 6 (2010) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Yang–Baxter maps; birational maps; integrability. 
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     title = {On {Quadrirational} {Yang{\textendash}Baxter} {Maps}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a32/}
}
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V. G. Papageorgiou; Yu. B. Suris; A. G. Tongas; A. P. Veselov. On Quadrirational Yang–Baxter Maps. Symmetry, integrability and geometry: methods and applications, Tome 6 (2010). http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a32/

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