Nagoya Mathematical Journal

Centrally symmetric configurations of integer matrices

Hidefumi Ohsugi and Takayuki Hibi

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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.

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Nagoya Math. J., Volume 216 (2014), 153-170.

First available in Project Euclid: 20 January 2015

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Zentralblatt MATH identifier

Primary: 13P10: Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
Secondary: 52B20: Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx]


Ohsugi, Hidefumi; Hibi, Takayuki. Centrally symmetric configurations of integer matrices. Nagoya Math. J. 216 (2014), 153--170. doi:10.1215/00277630-2857555.

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