English

Non-complete intersection prime ideals in dimension 3

Commutative Algebra 2015-11-03 v2

Abstract

We describe prime ideals of height 2 minimally generated by 3 elements in a Gorenstein, Nagata local ring of Krull dimension 3 and multiplicity at most 3. This subject is related to a conjecture of Y. Shimoda and to a long-standing problem of J. Sally.

Keywords

Cite

@article{arxiv.1310.7364,
  title  = {Non-complete intersection prime ideals in dimension 3},
  author = {Shiro Goto and Liam O'Carroll and Francesc Planas-Vilanova},
  journal= {arXiv preprint arXiv:1310.7364},
  year   = {2015}
}

Comments

A section with examples is added

R2 v1 2026-06-22T01:55:15.858Z