English

Toric ideals which are determinantal

Commutative Algebra 2021-06-09 v1

Abstract

Given any equigenerated monomial ideal II with the property that the defining ideal JJ of the fiber cone F(I) F(I) of II is generated by quadratic binomials, we introduce a matrix such that the set of its binomial 22-minors is a generating set of JJ. In this way, we characterize the fiber cone of sortable and Freiman ideals.

Keywords

Cite

@article{arxiv.2106.03900,
  title  = {Toric ideals which are determinantal},
  author = {Reza Abdolmaleki and Rashid Zaare-Nahandi},
  journal= {arXiv preprint arXiv:2106.03900},
  year   = {2021}
}
R2 v1 2026-06-24T02:55:51.468Z