Complete Intersections in Toric Ideals

E. CATTANI; R. CURRAN; A. DICKENSTEIN

Proc. Amer. Math. Soc.

Año: 2005 p. 1 - 1

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.