Complete intersections in toric ideals
交换代数
2007-05-23 v1 代数几何
摘要
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.
引用
@article{arxiv.math/0508400,
title = {Complete intersections in toric ideals},
author = {Eduardo Cattani and Raymond Curran and Alicia Dickenstein},
journal= {arXiv preprint arXiv:math/0508400},
year = {2007}
}
备注
to appear in Proc. Am. Math. Soc