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

Daniele Faenzi (1) , Joan Pons-Llopis (2)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 DISMA - Department of Mathematical Sciences [Torino]

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.

Mots clés: ACM vector sheaves and bundles; Ulrich sheaves; MCM modules; Graded Cohen-Macaulay rings; Representation type

Domaines: Mathématiques [math]

Daniele Faenzi, Joan Pons-Llopis. The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties. Épijournal de Géométrie Algébrique, 2021, Volume 5, pp.8. ⟨10.46298/epiga.2021.volume5.7113⟩. ⟨hal-03303377⟩