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Centrally Symmetric Configurations of Integer Matrices

Published online by Cambridge University Press:  11 January 2016

Hidefumi Ohsugi  and
Takayuki Hibi
Hidefumi Ohsugi
Affiliation:
Department of Mathematical Sciences, School of Science and Technology, Kwansei Gakuin University, Sanda, Hyogo, 669-1337, Japan, ohsugi@kwansei.ac.jp
Takayuki Hibi
Affiliation:
Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan, hibi@math.sci.osaka-u.ac.jp
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Abstract

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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.

Keywords

13P1052B20
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 216 , 2014 , pp. 153 - 170
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2014

References

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