On the rate of points in projective spaces

被引：0

作者：

Aldo Conca

Emanuela De Negri

Maria Evelina Rossi

机构：

[1] Universitá di Genova,Dipartimento di Matematica

来源：

Israel Journal of Mathematics | 2001年 / 124卷

关键词：

Projective Space; Hilbert Series; Hilbert Function; Coordinate Ring; Minimal Free Resolution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The rate of a standard gradedK-algebraR is a measure of the growth of the shifts in a minimal free resolution ofK as anR-module. It is known that rate(R)=1 if and only ifR is Koszul and that rate(R) ≥m(I)−1 wherem(I) denotes the highest degree of a generator of the defining idealI ofR. We show that the rate of the coordinate ring of certain sets of pointsX of the projective space Pn is equal tom(I)−1. This extends a theorem of Kempf. We study also the rate of algebras defined by a space of forms of some fixed degreed and of small codimension.

引用

页码：253 / 265

页数：12

共 16 条

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