%0 Journal Article %T Abelian solutions of the soliton equations and geometry of abelian varieties %A I. Krichever %A T. Shiota %J Mathematics %D 2008 %I arXiv %X We introduce the notion of abelian solutions of the 2D Toda lattice equations and the bilinear discrete Hirota equation and show that all of them are algebro-geometric. %U http://arxiv.org/abs/0804.0794v1