Graded cofinite rings of differential operators

Details Graded cofinite rings of differential operators Graded cofinite rings of differential operators

2004-03-29

arxiv.org/abs/math/0403493v3

Michigan Math. J. 54 (2006) 3-24

Mathematics

Rings and Algebras

v1: 9 pages; v2: 22 pages, completely rewritten, main theorem fixed, applications added; v3: 23 pages, references added, minor

Scientific paper

10.1307/mmj/1144437435

We classify subalgebras of a ring of differential operators which are big in
the sense that the extension of associated graded rings is finite. We show that
these subalgebras correspond, up to automorphisms, to uniformly ramified finite
morphisms. This generalizes a theorem of Levasseur-Stafford on the generators
of the invariants of a Weyl algebra under a finite group.

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