On the spectral curve of the difference Lamé operator
نویسنده
چکیده
We give two ”complementary” descriptions of the curve Γ parametrizing doubleBloch solutions to the difference analogue of the Lamé equation. The curve depends on a positive integer number l and two continuous parameters: the ”lattice spacing” η and the modular parameter τ . Apart from being a covering of the elliptic curve with the modular parameter τ , Γ is a hyperelliptic curve of genus 2l. We also point out connections between the spectral curve and representations of the Sklyanin algebra.
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