Cohomological properties of non-standard multigraded modules
Commutative Algebra
2008-01-16 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0801.2247,
title = {Cohomological properties of non-standard multigraded modules},
author = {Gemma Colomé-Nin and Juan Elias},
journal= {arXiv preprint arXiv:0801.2247},
year = {2008}
}