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Separators of points in a multiprojective space
Authors:Elena Guardo  Adam Van Tuyl
Institution:(1) Dipartimento di Matematica e Informatica, Universitá di Catania, Viale A. Doria, 6 - 95100 Catania, Italy;(2) Department of Mathematical Sciences, Lakehead University, Thunder Bay, ON, P7B 5E1, Canada
Abstract:In this note we develop some of the properties of separators of points in a multiprojective space. In particular, we prove multigraded analogs of results of Geramita, Maroscia, and Roberts relating the Hilbert function of $${\mathbb{X}}$$ and $${\mathbb{X}} \backslash \{P\}$$ via the degree of a separator, and Abrescia, Bazzotti, and Marino relating the degree of a separator to shifts in the minimal multigraded free resolution of the ideal of points.
Keywords:13D02  14M05  13D40
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