Centrally symmetric configurations of integer matrices

Details Centrally symmetric configurations of integer matrices Centrally symmetric configurations of integer matrices

2011-05-22

arxiv.org/abs/1105.4322v1

Mathematics

Commutative Algebra

14 pages, 1 figure

Scientific paper

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.

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