Inverse system of a symbolic power. I
type: Item
instance of: scholarly article
title: Inverse system of a symbolic power. I
zbMATH Open document ID: 0842.14002
author: J. Emsalem
author: Anthony Iarrobino
published in: Journal of Algebra
publication date: 1996-08-11T00:00:00Z
review text: In this paper one determines the Macaulay inverse system for the vanishing ideal at \(s\) points of the projective space \(\mathbb{P}^{r-1}\) and for the symbolic powers of the graded ideal vanishing at a union of irreducible varieties in the projective space. The paper has very interesting further applications, mentioned in the introduction. We note here only the solution to the Waring problem for forms, due to the second author in part II of this paper [\textit{A. Iarrobino}, J. Algebra 174, No. 3, 1091-1110 (1995; see the review in Zbl 0842.11016)].
Mathematics Subject Classification ID: 14A05
Mathematics Subject Classification ID: 13D40
Mathematics Subject Classification ID: 13F20
zbMATH DE Number: 783905
zbMATH Keywords: Macaulay inverse system
zbMATH Keywords: vanishing ideal at \(s\) points
zbMATH Keywords: symbolic powers of the graded ideal
zbMATH Keywords: Waring problem
reviewed by: Nicolae Manolache
MaRDI profile type: Publication
full work available at URL: jabr.1995.1168
OpenAlex ID: W2000148551
DOI: 10.1006/JABR.1995.1168
description: scientific article; zbMATH DE number 783905