%0 Journal Article %T Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice %A Rei Inoue %A Shinsuke Iwao %J Mathematics %D 2010 %I arXiv %X 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). %U http://arxiv.org/abs/1003.0057v2