A note on property \(N_p\)
type: Item
instance of: scholarly article
title: A note on property \(N_p\)
zbMATH Open document ID: 0976.14008
author: Elena Rubei
published in: Manuscripta Mathematica
publication date: 2001-12-27T00:00:00Z
review text: For \(M\) a very ample line bundle on a smooth complex projective variety \(Y\) and the map associated to \(M\), the author defines the property \(N_p \) for every positive integer \(p\). The problem under consideration is: Given \(M\), a line bundle as before on \(Y\) satisfying property \(N_p,\) and fixing a natural number \(s \), for which \(k\) does the line bundle \(M^s \) satisfy the property \(N_k \)? The author proves (proposition 1) that if \(M\) satisfies property \(N_p \) then \(M^s \) satisfies property \(N_x\) where \( x= \min \{ s,p\} \).
reviewed by: Isidro Nieto Baños
Mathematics Subject Classification ID: 14C20
Mathematics Subject Classification ID: 13D02
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 1463439
zbMATH Keywords: divisors
zbMATH Keywords: syzygies
zbMATH Keywords: resolutions
zbMATH Keywords: line bundle on a smooth complex projective variety
zbMATH Keywords: property \(N_p\)
MaRDI profile type: Publication
full work available at URL: s002290050226
OpenAlex ID: W2054218786
DOI: 10.1007/S002290050226
description: scientific article; zbMATH DE number 1463439