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…