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

  title={Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice},
  author={Rei Inoue and Shinsuke Iwao},
  journal={arXiv: Algebraic Geometry},
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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