Cohen–Macaulay multigraded modules
C.-Y. Jean Chan, Christine Cumming, and Huy Tài Hà
Source: Illinois J. Math. Volume 52, Number 4
(2008), 1147-1163.
Abstract
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.
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Permanent link to this document: http://projecteuclid.org/euclid.ijm/1258554354
Mathematical Reviews number (MathSciNet): MR2595759
Zentralblatt MATH identifier: 1193.13002
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