Dualizing Complex of a Toric Face Ring II: Non-normal Case
Commutative Algebra
2009-03-26 v1
Abstract
The notion of "toric face rings" generalizes both Stanley-Reisner rings and affine semigroup rings, and has been studied by Bruns, Romer, et.al. Here, we will show that, for a toric face ring , the "graded" Matlis dual of a Cech complex gives a dualizing complex. In the most general setting, is not a graded ring in the usual sense. Hence technical argument is required.
Keywords
Cite
@article{arxiv.0903.4310,
title = {Dualizing Complex of a Toric Face Ring II: Non-normal Case},
author = {Kohji Yanagawa},
journal= {arXiv preprint arXiv:0903.4310},
year = {2009}
}