Multigraded regularity, a*-invariant and the minimal free resolution

JOURNAL OF ALGEBRA

卷:310

Article

Ha, Huy Tai

关键词: multigraded regularity;    free resolution;    local cohomology;    sheaf cohomology;    a-invariant;    Cohen-Macaulay;    vanishing theorem;   

DOI  :  10.1016/j.jalgebra.2006.12.016

来源: Elsevier

【 摘 要 】

In recent years, two different multigraded variants of Castelnuovo-Mumford regularity have been developed, namely multigraded regularity, defined by the vanishing of multigraded pieces of local cohomology modules, and the resolution regularity vector, defined by the multi-degrees in a minimal free resolution. In this paper, we study the relationship between multigraded regularity and the resolution regularity vector. Our method is to investigate multigraded variants of the usual a*-invariant. This, in particular, provides an effective approach to examining the vanishing of multigraded pieces of local cohomology modules with respect to different multigraded ideals. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free