Complete intersections in toric ideals
arXiv:math/0508400
Abstract
We present examples which show that in dimension higher than one or codimension higher than two, there exist toric ideals I_A such that no binomial ideal contained in I_A 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.
to appear in Proc. Am. Math. Soc