Mathematics – Commutative Algebra
Scientific paper
2005-05-19
Mathematics
Commutative Algebra
20 pages, 1 figure; small corrections made; final version; to appear in J. of Algebra
Scientific paper
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 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. Smith, to associate to M a number which we call the regularity number of M. The minimal degrees of the multigraded minimal syzygies are bounded in terms of this invariant.
Sidman Jessica
Tuyl Adam Van
Wang Haohao
No associations
LandOfFree
Multigraded regularity: coarsenings and resolutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Multigraded regularity: coarsenings and resolutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multigraded regularity: coarsenings and resolutions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-582101