Toric rings and ideals of nested configurations

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.

15 pages, title changed, presentation improved in Introduction etc

References in corpus (1)

• Non-very ample configurations arising from contingency tables

Cited by in corpus (1)

• Existence of unimodular triangulations - positive results