Multigraded regularity: Coarsenings and resolutions

@article{Sidman2005MultigradedRC,
  title={Multigraded regularity: Coarsenings and resolutions},
  author={J. Sidman and A. Tuyl and H. Wang},
  journal={Journal of Algebra},
  year={2005},
  volume={301},
  pages={703-727}
}
  • J. Sidman, A. Tuyl, H. Wang
  • Published 2005
  • Mathematics
  • Journal of Algebra
  • Abstract Let S = k [ x 1 , … , x n ] be a Z r -graded ring with deg ( x i ) = a i ∈ 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 find finite subsets of Z r containing the multidegrees of the minimal multigraded syzygies of M. To find such a set, we first coarsen the grading of M so that we can view M as a Z -graded S-module. We use a generalized notion of Castelnuovo–Mumford regularity, which was introduced by D. Maclagan and G… CONTINUE READING
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