Complete intersections in toric ideals

Details Complete intersections in toric ideals Complete intersections in toric ideals

2005-08-21

arxiv.org/abs/math/0508400v1

Mathematics

Commutative Algebra

to appear in Proc. Am. Math. Soc

Scientific paper

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.

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