Abstract
Various examples of bi-rational transformations having their origin in the theory of exactly solvable vertex models in lattice statistical mechanics, as well as bi-rational transformations originating from spin edge models, are analysed using the singularity confinement method. This method provides results concerning the integrable (or not) character of these bi-rational transformations in complete agreement with the results obtained by visualization methods as well as methods based on the analysis of algebraic invariants.
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