Linear Difference Equations, Frieze Patterns and Combinatorial Gale Transform
نویسندگان
چکیده
We study the space of linear di↵erence equations with periodic coe cients and (anti)periodic solutions. We show that this space is isomorphic to the space of tame frieze patterns and closely related to the moduli space of configurations of points in the projective space. We define the notion of combinatorial Gale transform which is a duality between periodic di↵erence equations of di↵erent orders. We describe periodic rational maps generalizing the classical Gauss map.
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