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math-ph2000★ 20 cited
Dual Baxter equations and quantization of Affine Jacobian
Feodor A. Smirnov
A quantum integrable model is considered which describes a quantization of affine hyper-elliptic Jacobian. This model is shown to possess the property of duality: a dual model with…
math-ph2000★ 24 cited
Cohomologies of Affine Jacobi Varieties and Integrable Systems
A. Nakayashiki, F. A. Smirnov
We study the affine ring of the affine Jacobi variety of a hyper-elliptic curve. The matrix construction of the affine hyper-elliptic Jacobi varieties due to Mumford is used to cal…