Explicit formulas for arithmetic support of differential and difference operators
Maxim Kontsevich, Alexander Odesskii

TL;DR
This paper derives explicit formulas for the arithmetic support of deformed differential and q-difference operators, linking their properties to monodromy in characteristic zero, with implications for understanding their algebraic and geometric structures.
Contribution
It provides explicit formulas for the arithmetic support of deformed differential and q-difference operators, connecting these to monodromy in characteristic zero.
Findings
Formulas for arithmetic support of differential operator deformations
Extension of results to q-difference operators
Connection between arithmetic support and monodromy
Abstract
We compute arithmetic support of the formal deformations of the differential operator , where for sufficiently large primes in terms of the monodromy of in characteristic zero. An analog of these results is also provided in the case of -difference operators.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Approximation Theory and Sequence Spaces
