Resolution for Sheaf of Differential Operators on Smooth Free Geometric Quotient of Linear Action of Algebraic Group

Details Resolution for Sheaf of Differential Operators on Smooth Free Geometric Quotient of Linear Action of Algebraic Group Resolution for Sheaf of Differential Operators on Smooth Free Geometric Quotient of Linear Action of Algebraic Group

1996-09-13

arxiv.org/abs/alg-geom/9609009v2

Mathematics

Algebraic Geometry

8 pages, Amstex 2.1

Scientific paper

We obtain a global resolution for the sheaf of differential operators on
smooth geometric quotients of free linear actions of algebraic groups. The
terms of our resolution involve symmetric and alternating powers of vector
bundles easily constructed geometrically from the algebraic group and the
vector space on which it acts.

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