English

Numbers of Generators of Perfect Ideals

Commutative Algebra 2022-12-29 v1

Abstract

This article is concerned with the number of generators of perfect ideals J in regular local rings (R,m). If J is sufficiently large modulo mnm^n, a bound is established depending only on n and the projective dimension of J. More ambitious conjectures are also introduced with some partial results.

Keywords

Cite

@article{arxiv.2212.13620,
  title  = {Numbers of Generators of Perfect Ideals},
  author = {Raymond C Heitmann},
  journal= {arXiv preprint arXiv:2212.13620},
  year   = {2022}
}

Comments

submitted to Journal of Algebra