The Hilbert functions of ACM sets of points in P^{n_1} x ... x P^{n_k}
| dc.creator | Van Tuyl, Adam | |
| dc.date | 2001-12-18 | |
| dc.date | 2003-02-25 | |
| dc.date.accessioned | 2026-07-07T04:45:19Z | |
| dc.date.available | 2026-07-07T04:45:19Z | |
| dc.description | The Hilbert functions of sets of distinct points in P^n have been characterized. We show that if we restrict to sets of distinct of points in P^{n_1} x ... x P^{n_k} 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-dim R/Ix and depth R/Ix, where R/Ix is the coordinate ring associated to a set of distinct points X in P^{n_1} x ... x P^{n_k}. At the end of this paper we give a new characterization of ACM sets of points in P^1 x P^1. | |
| dc.description | 18 pages, v.2 to appear in J. Alg. Sections 2 and 3 have been combined, Section 5 has been removed, and Section 6 has been split into two sections | |
| dc.identifier | https://arxiv.org/abs/math/0112186 | |
| dc.identifier | http://arxiv.org/abs/math/0112186 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62912 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D40 (Primary) 14M05 (Secondary) | |
| dc.title | The Hilbert functions of ACM sets of points in P^{n_1} x ... x P^{n_k} | |
| dc.type | text |