6 citations · 6 across the 4 of their papers we have counts for
5 papers
Abelian solutions of the KP equation
I. Krichever, T. Shiota
We introduce the notion of abelian solutions of KP equations and show that all of them are algebro-geometric.
A characterization of Prym varieties
I. Krichever
We prove that Prym varieties of algebraic curves with two smooth fixed points of involution are exactly the indecomposable principally polarized abelian varieties whose theta-funct…
Integrable linear equations and the Riemann-Schottky problem
I. Krichever
We prove that an indecomposable principally polarized abelian variety is the Jacobain of a curve if and only if there exist vectors such that the roots of…
Integrable chains on algebraic curves
I. Krichever
The discrete Lax operators with the spectral parameter on an algebraic curve are defined. A hierarchy of commuting flows on the space of such operators is constructed. It is shown…
The periodic and open Toda lattice
I. Krichever, K. L. Vaninsky
We develop algebro-geometrical approach for the open Toda lattice. For a finite Jacobi matrix we introduce a singular reducible Riemann surface and associated Baker-Akhiezer functi…