Title: Dualizing Complexes and Perverse Modules over
Differential Algebras
(previous title: Differential Algebras of Finite Type)
Authors: Amnon Yekutieli and James J. Zhang
Publication status: Compositio
Mathematica 141 (2005),
620-654
Abstract:
A differential algebra of finite type over a field k is a
filtered algebra A, such that the associated graded algebra is
finite over its center, and the center is a finitely generated
k-algebra. The prototypical example is the algebra of
differential operators on a smooth affine variety, when char k =
0. We study homological and geometric properties of differential
algebras of finite type. The main results concern the rigid
dualizing complex over such an algebra A: its existence,
structure and variance properties. We also define and study
perverse A-modules, and show how they are related to the
Auslander property of the rigid dualizing complex of A.
Electronic Preprint:
amslatex
file
postscript
file
pdf
file (acrobat)
journal pdf file
Return
to Publications
updated 21 Feb 2006