Title:
Rigid
Dualizing Complexes via Differential Graded Algebras
(Survey)
Authors:
Amnon
Yekutieli
Publication
status:
Proceedings
of Conference on Triangulated Categories (Leeds 2006). London
Mathematical Society Lecture Note Series
(No. 375).
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:
Eprint
arXiv:0709.2149 [math.AG]
amslatex file
pdf
file (acrobat)
Published version: pdf
updated 23 Aug 2013