52 citations · 270 across the 46 of their papers we have counts for
4 papers · 1 filter
Potentials of a Frobenius like structure
Claus Hertling, Alexander Varchenko
This paper proves the existence of potentials of the first and second kind of a Frobenius like structure in a frame which encompasses families of arrangements. The frame uses the n…
Solutions modulo of Gauss-Manin differential equations for multidimensional hypergeometric integrals and associated Bethe ansatz
Alexander Varchenko
We consider the Gauss-Manin differential equations for hypergeometric integrals associated with a family of weighted arrangements of hyperplanes moving parallelly to themselves. We…
Solutions of KZ differential equations modulo
Vadim Schechtman, Alexander Varchenko
We construct polynomial solutions of the KZ differential equations over a finite field as analogs of hypergeometric solutions.
Critical points of master functions and mKdV hierarchy of type
Alexander Varchenko, Tyler Woodruff
We consider the population of critical points generated from the critical point of the master function with no variables, which is associated with the trivial representation of the…