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

Affiliation auteursAffiliation ok
TitreThe Cohen-Macaulay representation type of projective arithmetically Cohen-Macaulay varieties
Type de publicationJournal Article
Year of Publication2021
AuteursFaenzi D, Pons-Llopis J
JournalEPIJOURNAL DE GEOMETRIE ALGEBRIQUE
Volume5
Pagination8
Date PublishedMAY 12
Type of ArticleArticle
ISSN2491-6765
Mots-clésACM vector sheaves and bundles, Graded Cohen-Macaulay rings, MCM modules, Representation type, Ulrich sheaves
Résumé

We show that any reduced non-degenerate closed subscheme X subset of P-n of dimension m >= 1 whose graded coordinate ring is Cohen-Macaulay is of wild Cohen-Macaulay type, except for a few cases which we completely classify.