Cohen-Macaulay multigraded modules

C. Y. Jean Chan, Christine Cumming, Huy Tài Hà

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Let S be a standard Nr-graded algebra over a local ring A, and let M be a finitely generated Zr-graded module over S. We characterize the Cohen-Macaulayness of M in terms of the vanishing of certain sheaf cohomology modules. As a consequence, we apply our result to study the Cohen-Macaulayness of multi-Rees modules. Our work extends previous studies on the Cohen-Macaulayness of multi-Rees algebras.

Original languageEnglish
Pages (from-to)1147-1163
Number of pages17
JournalIllinois Journal of Mathematics
Issue number4
StatePublished - 2008


Dive into the research topics of 'Cohen-Macaulay multigraded modules'. Together they form a unique fingerprint.

Cite this