Publication Date

2007

Journal or Book Title

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Abstract

We present examples that show that in dimension higher than one or codimension higher than two, there exist toric ideals such that no binomial ideal contained in and of the same dimension is a complete intersection. This result has important implications in sparse elimination theory and in the study of the Horn system of partial differential equations.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://www.ams.org/journals/proc/2007-135-02/S0002-9939-06-08513-3/home.html

Pages

329-335

Volume

135

Issue

2

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