English

On an Instance of the Small Cohen-Macaulay Conjecture

Commutative Algebra 2023-06-14 v3

Abstract

We provide a simplified proof of a theorem proved by Tavanfar and Shimomoto which states that a quasi-Gorenstein deformation of a 33-dimensional quasi-Gorenstein local ring (A,m,k)(A,m,k) with Hm2(A)=kH^2_m(A)=k admits a small Cohen-Macaulay module.

Keywords

Cite

@article{arxiv.2302.11011,
  title  = {On an Instance of the Small Cohen-Macaulay Conjecture},
  author = {Likun Xie},
  journal= {arXiv preprint arXiv:2302.11011},
  year   = {2023}
}

Comments

5 pages; Expanded Introduction; To appear in J. Pure Appl. Algebra