English

The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties

Algebraic Geometry 2024-09-04 v4 Commutative Algebra Rings and Algebras Representation Theory

Abstract

We show that all reduced closed subschemes of projective space that have a Cohen-Macaulay graded coordinate ring are of wild Cohen-Macaulay type, except for a few cases which we completely classify.

Keywords

Cite

@article{arxiv.1504.03819,
  title  = {The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties},
  author = {Daniele Faenzi and Joan Pons-Llopis},
  journal= {arXiv preprint arXiv:1504.03819},
  year   = {2024}
}