Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice

Details Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice

2010-02-27

arxiv.org/abs/1003.0057v2

Mathematics

Algebraic Geometry

12 pages, 2 figures

Scientific paper

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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