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Simple holonomic modules over rings of differential operators with regular coefficients of Krull dimension 2 |
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| Authors: | V. Bavula F. van Oystaeyen |
| Affiliation: | Department of Pure Mathematics, University of Sheffield, Hicks Building, Sheffield S3 7RH, UK ; Department of Mathematics and Computer Science, University of Antwerp (U.I.A), Universiteitsplein, 1, B-2610, Wilrijk, Belgium |
| Abstract: | Let |
| Keywords: | |
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be an algebraically closed field of characteristic zero. Let 
be the ring of (
-linear) differential operators with coefficients from a regular commutative affine domain of Krull dimension 
which is the tensor product of two regular commutative affine domains of Krull dimension 
. Simple holonomic 
-modules are described. Let a 
-algebra 
be a regular affine commutative domain of Krull dimension 
and 
be the ring of differential operators with coefficients from 
. We classify (up to irreducible elements of a certain Euclidean domain) simple 
-modules (the field 
is not necessarily algebraically closed).