Multigraded Regularity: Syzygies and Fat Points

By Jessica Sidman, Adam Van Tuyl. 2004

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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 connec- tions between two recent definitions of multigraded regularity with a view towards a better understanding of the multigraded Hilbert func- tion of fat point schemes in P n1 ◊ ··· ◊ P nk .

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b44b2504e18c19bc9d72b1cbfcc14d7b8a503f5f