English

Differences in regularities of a power and its integral closure and symbolic power

Commutative Algebra 2023-06-02 v1

Abstract

We show that for a square-free monomial ideal, the regularity of its symbolic (second) power and of the integral closure of of its (second) power can differ from the regularity of its ordinary (second) power by an arbitrarily large integer.

Keywords

Cite

@article{arxiv.2306.00661,
  title  = {Differences in regularities of a power and its integral closure and symbolic power},
  author = {Irena Swanson and Siamak Yassemi},
  journal= {arXiv preprint arXiv:2306.00661},
  year   = {2023}
}

Comments

Accepted for publication in Communications in Algebra in 2023