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Multigraded regularity: syzygies and fat points

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}.

preprint2005arXivOpen access
Jessica SidmanAdam Van Tuyl
math.ACmath.AG
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Jessica SidmanAdam Van Tuyl

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