167 citations · 1.9k across the 134 of their papers we have counts for
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Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral
R. Rimányi, V. Tarasov, A. Varchenko +1
We consider the tensor power of the vector representation of and its weight decomposition . For $λ= (λ_1 \geq ... \geq…
The contravariant form on singular vectors of a projective arrangement
Michael J. Falk, Alexander N. Varchenko
We define the flag space and space of singular vectors for an arrangement A of hyperplanes in projective space equipped with a system of weights a: A --> C. We show that the contra…
Cohomology of the complement to an elliptic arrangement
A. Levin, A. Varchenko
We consider the complement to an arrangement of hyperplanes in a cartesian power of an elliptic curve and describe its cohomology with coefficients in a nontrivial rank one local s…
Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor
D. Arinkin, A. Varchenko
Under a certain condition A we give a construction to calculate the intersection cohomology of a rank one local system on the complement to a hyperplane-like divisor
Reality property of discrete Wronski map with imaginary step
E. Mukhin, V. Tarasov, A. Varchenko
For a set of quasi-exponentials with real exponents, we consider the discrete Wronskian (also known as Casorati determinant) with pure imaginary step 2h. We prove that if the coeff…