English

Vector space bases associated to vanishing ideals of points

Commutative Algebra 2010-10-20 v2

Abstract

We discuss four different constructions of vector space bases associated to vanishing ideals of points. We show how to compute normal forms with respect to these bases and give new complexity bounds. As an application, we improve the computational algebra approach to the reverse engineering of gene regulatory networks.

Keywords

Cite

@article{arxiv.0808.3591,
  title  = {Vector space bases associated to vanishing ideals of points},
  author = {Samuel Lundqvist},
  journal= {arXiv preprint arXiv:0808.3591},
  year   = {2010}
}

Comments

21 pages

R2 v1 2026-06-21T11:14:02.277Z