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On the Hilbert functions of sets of points in $\mathbb{P}$1 × $\mathbb{P}$1 × $\mathbb{P}$1

Published online by Cambridge University Press:  04 May 2015

ELENA GUARDO
Affiliation:
Dipartimento di Matematica e Informatica, Viale A. Doria, 6 - 95100 - Catania, Italy. e-mail: guardo@dmi.unict.it
ADAM VAN TUYL
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S4L8, Canada. e-mail: vantuyl@math.mcmaster.ca

Abstract

Let 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.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2015 

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References

REFERENCES

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