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arxiv: 1407.0650 · v2 · pith:K5SQJ7W6new · submitted 2014-07-02 · 🧮 math.AC · math.AG

On the Hilbert functions of sets of points in P¹ x P¹ x P¹

classification 🧮 math.AC math.AG
keywords pointshilbertsetsextractfunctionfunctionsgeneralizesgeometric
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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 H_X. This note generalizes a similar result of Giuffrida, Maggioni, and Ragusa about sets of points in P^1 x P^1.

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