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arXiv · 0907.3253

Toric rings and ideals of nested configurations

Hidefumi Ohsugi·Takayuki Hibi
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Abstract

The toric ring together with the toric ideal arising from a nested configuration is studied, with particular attention given to the algebraic study of normality of the toric ring as well as the Gröbner bases of the toric ideal. One of the combinatorial applications of these algebraic findings leads to insights on smooth $3 \times 3$ transportation polytopes.

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Hidefumi Ohsugi, Takayuki Hibi. 2010-02-07. Toric rings and ideals of nested configurations. https://arxiv.org/abs/0907.3253

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