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 and when it is Gorenstein. In addition, Gröbner bases of toric ideals of centrally symmetric configurations are discussed. Special attention is given to centrally symmetric configurations of unimodular matrices and to those of incidence matrices of finite graphs.
Citation
Hidefumi Ohsugi. Takayuki Hibi. "Centrally symmetric configurations of integer matrices." Nagoya Math. J. 216 153 - 170, December 2014. https://doi.org/10.1215/00277630-2857555
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