Separators of points in a multiprojective space

Details Separators of points in a multiprojective space Separators of points in a multiprojective space

2007-07-20

arxiv.org/abs/0707.3139v2

Mathematics

Commutative Algebra

13 pages; minor revisions; updated references; to appear in Manuscripta Mathematica

Scientific paper

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 X and X \{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.

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