167 citations · 1.9k across the 134 of their papers we have counts for
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Derived KZ equations
Vadim Schechtman, Alexander Varchenko
In this paper we strengthen the results of [SV] by presenting their derived version. Namely, we define a "derived Knizhnik - Zamolodchikov connection"\ and identify it with a "deri…
The -Selberg integral of type
Richard Rimanyi, Alexander Varchenko
We prove an -Selberg integral formula of type , in which the -Selberg integral is an element of the finite field with odd prime number…
The -Selberg Integral
Richard Rimanyi, Alexander Varchenko
We prove an -Selberg integral formula, in which the -Selberg integral is an element of the finite field with odd prime number of element…
Determinant of -hypergeometric solutions under ample reduction
Alexander Varchenko
We consider the KZ differential equations over in the case, when the hypergeometric solutions are one-dimensional integrals. We also consider the same differential equa…
The -Markov equation for Laurent polynomials
Giordano Cotti, Alexander Varchenko
We consider the -Markov equation for the symmetric Laurent polynomials in three variables with integer coefficients, which is an equivariant analog of the classical Markov equat…
An invariant subbundle of the KZ connection mod and reducibility of Verma modules mod
Alexander Varchenko
We consider the KZ differential equations over in the case, when its multidimensional hypergeometric solutions are one-dimensional integrals. We also consider the same…
Hypergeometric Integrals Modulo and Hasse--Witt Matrices
Alexey Slinkin, Alexander Varchenko
We consider the KZ differential equations over in the case, when the hypergeometric solutions are one-dimensional integrals. We also consider the same differential equa…