Multigraded regularity: syzygies and fat points

Details Multigraded regularity: syzygies and fat points Multigraded regularity: syzygies and fat points

2004-05-13

arxiv.org/abs/math/0405247v3

Beitr\"age Algebra Geom. 47 (2006), no. 2, 603

Mathematics

Commutative Algebra

AMS LaTex, 20 pages. v2: Revised with several small corrections. Some changes in references; v3: Small changes to Prop. 2.2 an

Scientific paper

The Castelnuovo-Mumford regularity of a graded ring is an important invariant in computational commutative algebra, and there is increasing interest in multigraded generalizations. We study connections between two recent definitions of multigraded regularity with a view towards a better understanding of the multigraded Hilbert function of fat point schemes in P^{n_1} x ... x P^{n_k}.

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