Complete Intersections in Toric Ideals

Authors

Eduardo Cattani
Raymond Curran
Alicia Dickenstein

Publication Date

2005

Abstract

We present examples which show that in dimension higher than one or codimension higher than two, there exist toric ideals IA such that no binomial ideal contained in IA 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 paper was harvested from ArXiv.org and ArXiv identifier is arXiv:0508400v1

Recommended Citation

Cattani, Eduardo; Curran, Raymond; and Dickenstein, Alicia, "Complete Intersections in Toric Ideals" (2005). Mathematics and Statistics Department Faculty Publication Series. 12.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/12