Solutions of KZ differential equations modulo p

2017/07/09 by Schechtman, Vadim, Varchenko, Alexander · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1707.02615

Abstract

We construct polynomial solutions of the KZ differential equations over a finite field F_p as analogs of hypergeometric solutions.

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• p-curvature operators and Satake-type phenomenon for \fraksl₂ KZ equations with κ=± 2

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