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Let K be an algebraically closed eld of characteristic zero. Let be the ring of (K-linear) dierential operators with coecients from a regular commutative ane domain of Krull dimension 2 which is the tensor prod- uct of two regular commutative ane domains of Krull dimension 1. Simple holonomic -modules are described. Let a K-algebra D be a regular ane commutative domain of Krull dimension 1 andD(D) be the ring of dierential operators with coecients from D. We classify (up to irreducible elements of a certain Euclidean domain) simpleD(D)-modules (the eld K is not necessarily algebraically closed).

Simple holonomic modules over rings of differential operators with regular coefficients of Krull dimension 2