English

Arithmetical rank of binomial ideals

Commutative Algebra 2017-09-19 v4 Algebraic Geometry

Abstract

In this paper, we investigate the arithmetical rank of a binomial ideal JJ. We provide lower bounds for the binomial arithmetical rank and the JJ-complete arithmetical rank of JJ. Special attention is paid to the case where JJ is the binomial edge ideal of a graph. We compute the arithmetical rank of such an ideal in various cases.

Keywords

Cite

@article{arxiv.1609.03710,
  title  = {Arithmetical rank of binomial ideals},
  author = {Anargyros Katsabekis},
  journal= {arXiv preprint arXiv:1609.03710},
  year   = {2017}
}
R2 v1 2026-06-22T15:48:00.153Z