Moduli spaces of d-connections and difference Painleve equations

Details Moduli spaces of d-connections and difference Painleve equations Moduli spaces of d-connections and difference Painleve equations

2004-11-25

arxiv.org/abs/math/0411584v2

Duke Math. J., vol. 134 (2006) no. 3, 515-556

Mathematics

Algebraic Geometry

30 pages (LaTeX)

Scientific paper

We show that difference Painleve equations can be interpreted as isomorphisms
of moduli spaces of d-connections on the projective line with given singularity
structure. We also derive a new difference equation. It is the most general
difference Painleve equation known so far, and it degenerates to both
difference Painleve V and classical (differential) Painleve VI equations.

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