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

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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 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.
Final version to appear in J. Algebra; 24 pages

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Commutative Algebra, Algebraic Geometry, 13D02, 13D45, 14B15, 14F17

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http://salesiana.dossiersoluciones.com/handle/123456789/122125

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501479
 http://arxiv.org/abs/math/0501479

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arXiv