3 papers
math.NT2025
The monodromy of cyclic Pryms
Eric M. Rains
The {\em Prym} of a cyclic covering of smooth projective curves is the ``new'' part of the Jacobian: the quotient of the Jacobian of the covering curve by the Jacobians of the inte…
math.AG2025
The (noncommutative) geometry of difference equations
Eric M. Rains
The aim of this monograph is twofold: to explain various nonautonomous integrable systems (discrete Painlevé all the way up to the elliptic level, as well as generalizations à la…
math-ph2025
Q-operators for the Ruijsenaars model
Eric Rains, Hjalmar Rosengren
We prove that the Ruijsenaars model admits a one-parameter commuting family of Q-operators. The commutativity is equivalent to an elliptic hypergeometric integral transformation th…