pith. sign in

arxiv: math/0508400 · v1 · submitted 2005-08-21 · 🧮 math.AC · math.AG

Complete intersections in toric ideals

Eduardo Cattani (University of Massachusetts , Amherst) , Raymond Curran (Metropolitan State College of Denver) , Alicia Dickenstein (Universidad de Buenos Aires) This is my paper
classification 🧮 math.AC math.AG
keywords completedimensionhigheridealstoricbinomialcodimensioncontained
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.