Dualizing complex of a toric face ring
Commutative Algebra
2008-09-02 v1
Abstract
A "toric face ring", which generalizes both Stanley-Reisner rings and affine semigroup rings, is studied by Bruns, Roemer and their coauthors recently. In this paper, under the "normality" assumption, we describe a dualizing complex of a toric face ring in a very concise way. Since is not a graded ring in general, the proof is not straightforward. We also develop the squarefree module theory over , and show that the Buchsbaum property and the Gorenstein* property of are topological properties of its associated cell complex.
Cite
@article{arxiv.0809.0095,
title = {Dualizing complex of a toric face ring},
author = {Ryota Okazaki and Kohji Yanagawa},
journal= {arXiv preprint arXiv:0809.0095},
year = {2008}
}
Comments
22 pages