The Hilbert Functions of Acm Sets of Points
نویسنده
چکیده
The Hilbert functions of sets of distinct points in Pn have been characterized. We show that if we restrict to sets of distinct of points in Pn1 ×· · ·×Pnk that are also arithmetically Cohen-Macaulay (ACM for short), then there is a natural generalization of this result. We begin by determining the possible values for the invariants K-dimR/IX and depthR/IX, where R/IX is the coordinate ring associated to a set of distinct points X in Pn1 ×· · ·×Pnk . At the end of this paper we give a new characterization of ACM sets of points in P × P.
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تاریخ انتشار 2009