On the minimal free resolution of r + 3 points in projective r-space

Uwe Nagel

doi:10.1016/0022-4049(94)90084-1

On the minimal free resolution of r + 3 points in projective r-space

Uwe Nagel

Mathematics

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4 Scopus citations

Abstract

For a finite set of points spanning a projective space of dimension r sufficient conditions for the property (N_e,k) are established. Then we restrict ourselves to consider a set X of r + 3 points. The graded Betti numbers of X depend on the configuration of the points and are determined in many cases. In particular, we describe precisely how long the minimal free resolution of X is linear and we give a lower bound for the number of possible different minimal free resolutions of such X.

Original language	English
Pages (from-to)	23-38
Number of pages	16
Journal	Journal of Pure and Applied Algebra
Volume	96
Issue number	1
DOIs	https://doi.org/10.1016/0022-4049(94)90084-1
State	Published - Sep 16 1994

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0022-4049(94)90084-1

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AB - For a finite set of points spanning a projective space of dimension r sufficient conditions for the property (Ne,k) are established. Then we restrict ourselves to consider a set X of r + 3 points. The graded Betti numbers of X depend on the configuration of the points and are determined in many cases. In particular, we describe precisely how long the minimal free resolution of X is linear and we give a lower bound for the number of possible different minimal free resolutions of such X.

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On the minimal free resolution of r + 3 points in projective r-space

Abstract

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