Koszul configurations of points in projective spaces

Details Koszul configurations of points in projective spaces Koszul configurations of points in projective spaces

2004-12-21

arxiv.org/abs/math/0412441v4

Mathematics

Algebraic Geometry

10 pages, the proof of Theorem 0.3 is simplified

Scientific paper

We prove a new criterion for the homogeneous coordinate ring of a finite set
of points in ${\Bbb P}^n$ to be Koszul. Like the well known criterion due to
Kempf it involves only incidence conditions on linear spans of subsets of a
given set. We also give a sufficient condition for the Koszul property to be
preserved when passing to a subset of a finite set of points in ${\Bbb P}^n$.

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