Centrally symmetric configurations of integer matrices
Commutative Algebra
2015-07-20 v1
Abstract
The concept of centrally symmetric configurations of integer matrices is introduced. We study the problem when the toric ring of a centrally symmetric configuration is normal as well as is Gorenstein. In addition, Gr\"obner bases of toric ideals of centrally symmetric configurations will be discussed. Special attentions will be given to centrally symmetric configurations of unimodular matrices and those of incidence matrices of finite graphs.
Cite
@article{arxiv.1105.4322,
title = {Centrally symmetric configurations of integer matrices},
author = {Hidefumi Ohsugi and Takayuki Hibi},
journal= {arXiv preprint arXiv:1105.4322},
year = {2015}
}
Comments
14 pages, 1 figure