Explicit formulas for arithmetic support of differential and difference operators
Abstract
We compute arithmetic support of the formal deformations D=P+tQ1+t2Q2+... of the differential operator P=(x∂x-r1)...(x∂x-rk), where r1,...,rk∈Q for sufficiently large primes p in terms of the monodromy of D in characteristic zero. An analog of these results is also provided in the case of q-difference operators.
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