Separators of points in a multiprojective space |
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Authors: | Elena Guardo Adam Van Tuyl |
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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 |
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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 and 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. |
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Keywords: | 13D02 14M05 13D40 |
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