Regularity and Resolutions for Multigraded Modules

2006/01/05 by Hoffman, Jerome W., Wang, Haohao
#13D02 #13D25 #13D45 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0601101

Abstract

This paper is concerned with the relationships between two concepts, vanishing of cohomology groups and the structure of free resolutions. In particular, we study the connection between vanishing theorems for the local cohomology of multigraded modules and the structure of their free multigraded resolutions.

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• Multigraded regularity, a*-invariant and the minimal free resolution
• Cohomological properties of non-standard multigraded modules
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