Article ID Journal Published Year Pages File Type
4596273 Journal of Pure and Applied Algebra 2013 11 Pages PDF
Abstract

Let Z be a finite set of points in the projective plane and let I=I(Z) be its homogeneous ideal. In this paper we study the sequence α(I(m)), m=1,2,3…, of initial degrees of symbolic powers of I. We show how bounds on the growing order of elements in this sequence determine the geometry of Z.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory