Title:
Rigid Dualizing Complexes via Differential Graded Algebras
(Survey)
Authors: Amnon Yekutieli
Publication
status: to appear in proceedings of Conference on Triangulated
Categories (Leeds 2006). Eprint arXiv:0709.2149
[math.AG]
Abstract: In this article we
survey recent results on rigid dualizing complexes over commutative
algebras. We begin by recalling what are dualizing complexes. Next we
define rigid complexes, and explain their functorial properties. Due
to the possible presence of torsion, we must use differential graded
algebras in the constructions. We then discuss rigid dualizing
complexes. Finally we show how rigid complexes can be used to
understand Cohen-Macaulay homomorphisms and relative dualizing
sheaves.
Electronic
Preprint:
amslatex file
pdf file (acrobat)
updated 20 July 2008