Separators of points in a multiprojective space

2007/07/20 by Elena Guardo, Guardo, Elena, Adam Van Tuyl +1
Mathematics · #13D02 #13D40 #14M05 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.0707.3139

openalex publication_date 2007/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 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.

Citations

• ACM sets of points in multiprojective space

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