Dualizing complexes of seminormal affine semigroup rings and toric face rings
Commutative Algebra
2014-12-09 v2
Abstract
We characterize the seminormality of an affine semigroup ring in terms of the dualizing complex, and the normality of a Cohen-Macaulay semigroup ring by the "shape" of the canonical module. We also characterize the seminormality of a toric face ring in terms of the dualizing complex. A toric face ring is a simultaneous generalization of Stanley-Reisner rings and affine semigroups.
Keywords
Cite
@article{arxiv.1301.4903,
title = {Dualizing complexes of seminormal affine semigroup rings and toric face rings},
author = {Kohji Yanagawa},
journal= {arXiv preprint arXiv:1301.4903},
year = {2014}
}
Comments
20 pages, typo corrected, more detailed proof in P.17, to appear in J. Algebra