Postulation of a union \(X\subset \mathbb P^r\), \(r\geq 4\), of a given zero-dimensional scheme and several general lines
type: Item
instance of: scholarly article
title: Postulation of a union \(X\subset \mathbb P^r\), \(r\geq 4\), of a given zero-dimensional scheme and several general lines
zbMATH Open document ID: 1290.14032
DOI: 10.1155/2013/391721
author: E. Ballico
published in: ISRN Geometry
publication date: 2014-06-16T00:00:00Z
review text: Summary: We study the Hilbert function of the union \(X\) of a given zero-dimensional scheme \(Z\subset \mathbb P^r\), \(r\geq 4\), and \(t\) general lines of \(\mathbb P^r\), proving, for example, that if \(t \gg \mathrm{deg}(Z)\), then \(X\) has maximal rank.
Mathematics Subject Classification ID: 14N05
Mathematics Subject Classification ID: 14C20
zbMATH DE Number: 6304702
Wikidata QID: Q58995320
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/391721
OpenAlex ID: W2067330154
cites work: Q3218233
cites work: Bipolynomial Hilbert functions
cites work: 3-dimensional sundials
cites work: Q4143433
description: scientific article; zbMATH DE number 6304702