Cohen-Macaulay multigraded modules
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
Let S be a standard N^r-graded algebra over a local ring A, and let M be a finitely generated Z^r-graded S-module. 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 (also called Rees modification). Our work extends previous studies on the Cohen-Macaulayness of multi-Rees algebras.
Cite
@article{arxiv.0705.1839,
title = {Cohen-Macaulay multigraded modules},
author = {C-Y. Jean Chan and Christine Cumming and Huy Tai Ha},
journal= {arXiv preprint arXiv:0705.1839},
year = {2007}
}