Abstract
We show that difference Painleve equations can be interpreted as isomorphisms of moduli spaces of difference connections (d-connections) on P1 with given singularity structure. In particular, we derive a difference equation that lifts to an isomorphism between A2(1)*-surfaces in Sakai's classification (see [29]); it degenerates to both difference Painleve V and classical (differential) Painleve VI equations. This difference equation has been known before under the name of asymmetric discrete Painleve IV equation
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