On the Hilbert functions of sets of points in 1 × 1 × 1-Reference-Cited by-同舟云学术

On the Hilbert functions of sets of points in 1 × 1 × 1

Published:2015-05-04 Issue:1 Volume:159 Page:115-123
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

GUARDO ELENA,VAN TUYL ADAM

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 ×

$\mathbb{P}$

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Geometric consequences of extremal behavior in a theorem of Macaulay

2. The Hilbert Function of a Reduced K -Algebra

3. Fat points schemes on a smooth quadric

4. CoCoATeam. CoCoA: a system for doing computations in commutative algebra. Available at http://cocoa.dima.unige.it.

5. On the postulation of 0-dimensional subschemes on a smooth quadric

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