Cohomological properties of non-standard multigraded modules

JOURNAL OF ALGEBRA

卷:322

Article

Colome-Nin, Gemma¹  Elias, Juan¹ 

[1] Univ Barcelona, Fac Matemat, Dept Algebra & Geometria, E-08007 Barcelona, Spain

关键词: Local cohomology;    Multigradings;    Vanishing;    Veronese;   

DOI  :  10.1016/j.jalgebra.2009.06.001

来源: Elsevier

【 摘 要 】

In this paper we study some cohomological properties of nonstandard 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. (C) 2009 Published by Elsevier Inc.

【 授权许可】

Free