Multigraded regularity, a*-invariant and the minimal free resolution
交换代数
2007-05-23 v2 代数几何
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 multidegrees 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 graded irrelevant ideals.
引用
@article{arxiv.math/0501479,
title = {Multigraded regularity, a*-invariant and the minimal free resolution},
author = {Huy Tai Ha},
journal= {arXiv preprint arXiv:math/0501479},
year = {2007}
}
备注
Final version to appear in J. Algebra; 24 pages