Regularity and Resolutions for Multigraded Modules

Hoffman, J. William; Wang, Haohao

doi:10.1142/s021949880700248x

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2007

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“…Many authors [1,9,11,13,14,16,17,19,21,22] in recent years have developed multigraded variants of Castelnuovo-Mumford regularity. Inspired by the usual Z-graded case, two different approaches have been investigated.…”

Section: Objectivementioning

confidence: 99%

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

Harbourne

2007

Journal of Algebra

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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.

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Section: Objectivementioning

confidence: 99%

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

Harbourne

2007

Journal of Algebra

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show abstract

Regularity and Resolutions for Multigraded Modules

Cited by 1 publication

References 17 publications

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

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

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