477 citations · 904 across the 38 of their papers we have counts for
38 papers
Quasi-periodic solutions of the universal hierarchy
I. Krichever, A. Zabrodin
We construct quasi-periodic solutions of the universal hierarchy which includes the multi-component KP and Toda hierarchies and show how they fit into the bilinear formalism. The t…
Monodromy free linear equations and many-body systems
I. Krichever, A. Zabrodin
We further develop the approach to many-body systems based on finding conditions of existence of meromorphic solutions to certain linear partial differential and difference equatio…
Toda lattice with constraint of type B
I. Krichever, A. Zabrodin
We introduce a new integrable hierarchy of nonlinear differential-difference equations which is a subhierarchy of the 2D Toda lattice defined by imposing a constraint to the Lax op…
Abelian pole systems and Riemann-Schottky type systems
Igor Krichever
In this survey of works on a characterization of Jacobians and Prym varieties among indecomposable principally polarized abelian varieties via the soliton theory we focus on a cert…
Characterizing Jacobians of algebraic curves with involution
Igor Krichever
We give two characterizations of Jacobians of curves with involution having fixed points in the framework of two particular cases of Welter's trisecant conjecture. The geometric fo…
Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model
I. Krichever, A. Zabrodin
We introduce a new integrable hierarchy of nonlinear differential-difference equations which we call constrained Toda hierarchy (C-Toda). It can be regarded as a certain subhierarc…