43 citations
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math.AC2006
Regularity and Resolutions for Multigraded Modules
Jerome W. Hoffman, Haohao Wang
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 be…
math.AC2005★ 1 cited
Multigraded regularity: coarsenings and resolutions
Jessica Sidman, Adam Van Tuyl, Haohao Wang
Let S = k[x_1,...,x_n] be a Z^r-graded ring with deg (x_i) = a_i \in Z^r for each i and suppose that M is a finitely generated Z^r-graded S-module. In this paper we describe how to…