Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice
classification
🧮 math.AG
math-phmath.MP
keywords
tropicalgeneralizedidentitylatticespectraltodatrisecantultradiscrete
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We study the generalized ultradiscrete periodic Toda lattice T(M,N) which has tropical spectral curve. We introduce a tropical analogue of Fay's trisecant identity, and apply it to construct a general solution to T(M,N).
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