Multigraded regularity: syzygies and fat points
Jessica Sidman, Adam Van Tuyl
Abstract
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 Pn1 x ... x Pnk.
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