Cohomological properties of non-standard multigraded modules

Details Cohomological properties of non-standard multigraded modules Cohomological properties of non-standard multigraded modules

2008-01-15

arxiv.org/abs/0801.2247v1

Mathematics

Commutative Algebra

Scientific paper

In this paper we study some cohomological properties of non-standard multigraded modules and Veronese transforms of them. Among others numerical characters, we study the generalized depth of a module and we see that it is invariant by taking a Veronese transform. We prove some vanishing theorems for the local cohomology modules of a multigraded module; as a corollary of these results we get that the depth of a Veronese module is asymptotically constant.

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