English

Local rings of embedding codepth 3. Examples

Commutative Algebra 2012-11-15 v2 K-Theory and Homology

Abstract

A complete local ring of embedding codepth 3 has a minimal free resolution of length 3 over a regular local ring. Such resolutions carry a differential graded algebra structure, based on which one can classify local rings of embedding codepth 3. We give examples of algebra structures that have been conjectured not to occur.

Keywords

Cite

@article{arxiv.1209.4256,
  title  = {Local rings of embedding codepth 3. Examples},
  author = {Lars Winther Christensen and Oana Veliche},
  journal= {arXiv preprint arXiv:1209.4256},
  year   = {2012}
}

Comments

Updated reference and corrected typos. Final version; to appear in Algebras and Representation Theory; 13 pp

R2 v1 2026-06-21T22:07:54.672Z