On the Hilbert functions of sets of points in 1 × 1 × 1 Academic Article uri icon

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abstract

  • AbstractLet HX be the trigraded Hilbert function of a set X of reduced points in $\mathbb{P}$1 × $\mathbb{P}$1 × $\mathbb{P}$1. We show how to extract some geometric information about X from HX. This paper generalises a similar result of Giuffrida, Maggioni and Ragusa about sets of points in $\mathbb{P}$1 × $\mathbb{P}$1.

publication date

  • July 2015