Cohen-Macaulay multigraded modules

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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.
16 pages

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Commutative Algebra, Algebraic Geometry, 13A30; 13C14; 14B15; 14M05

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http://salesiana.dossiersoluciones.com/handle/123456789/128882

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.1839
 http://arxiv.org/abs/0705.1839

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arXiv