4 citations · 13 across the 6 of their papers we have counts for
7 papers
Real-normalized differentials: limits on stable curves
Samuel Grushevsky, Igor Krichever, Chaya Norton
We study the behavior of real-normalized (RN) meromorphic differentials on Riemann surfaces under degeneration. We determine all possible limits of RN differentials in degenerating…
Commuting difference operators and the combinatorial Gale transform
I. Krichever
We study the spectral theory of -periodic strictly triangular difference operators and the spectral theory of the "superperiodic" operator…
Real normalized differentials and compact cycles in the moduli space of curves
I. Krichever
Using constructions of the Whitham perturbation theory of integrable system we prove a new sharp upper bound of on the dimension of complete subvarieties of $\M_g^{ct}$.
Real normalized differentials and Arbarello's conjecture
I. Krichever
Using meromorphic differentials with real periods, we prove Arbarello's conjecture: any compact complex cycle of dimension in the moduli space $\M_g$ of smooth genus alge…
Characterizing Jacobians via flexes of the Kummer variety
E. Arbarello, G. Marini, I. Krichever
Given an abelian variety and a point we denote by the closure of the subgroup of generated by . Let . We denote by $κ: X\to κ(X)\subset\mathbb P^…
Elliptic Families of Solutions of the Kadomtsev-Petviashvili Equation and the Field Elliptic Calogero-Moser System
A. Akhmetshin, I. Krichever, Yu. Volvovski
We present the Lax pair for the field elliptic Calogero-Moser system and establish a connection between this system and the Kadomtsev-Petviashvili equation. Namely, we consider ell…
Spin Chains with Twisted Monodromy
I. M. Krichever, D. H. Phong
The integrable model corresponding to the supersymmetric SU(N) gauge theory with matter in the symmetric representation is constructed. It is a spin chain model, whose…