Multigraded regularity: syzygies and fat points

Jessica Sidman; Adam Van Tuyl

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arXiv · math/0405247

Multigraded regularity: syzygies and fat points

Jessica Sidman·Adam Van Tuyl

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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 P^{n_1} x ... x P^{n_k}.

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Jessica Sidman, Adam Van Tuyl. 2005-09-06. Multigraded regularity: syzygies and fat points. https://arxiv.org/abs/math/0405247

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