Andrey Smirnov

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math.NT2025

Dwork congruences via q-deformation

Pavan Kartik, Andrey Smirnov

We consider a system of polynomials $T_{s} (z, q) \in Z [z, q]$ which appear as truncations of the K-theoretic vertex function for the cotangent bundles over Grassmannians $T^{*…

math.NT2024

Frobenius intertwiners for q-difference equations

Andrey Smirnov

We consider a class of $q$ -hypergeometric equations describing the quantum difference equation for the cotangent bundles over projective spaces $X = T^{*} P^{n - 1}$ . We show…