On the Hilbert functions of sets of points in P-1 x P-1 x P-1

摘要

Let H-X be the trigraded Hilbert function of a set X of reduced points in P-1 x P-1 x 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 P-1 x P-1.