Erratum et Addendum zu der Arbeit: Über exzeptionelle Mengen
type: Item
instance of: scholarly article
title: Erratum et Addendum zu der Arbeit: Über exzeptionelle Mengen
zbMATH Open document ID: 0546.32005
DOI: 10.1007/BF01169587
author: Thomas Peternell
published in: Manuscripta Mathematica
publication date: 1983-01-01T00:00:00Z
review text: In theorem 3 of the paper reviewed above, the author claimed that if Y is a subspace of X, and you blow up X with centre Y, then, \(Y^{{\hat{\;}}}\) being the full transform of Y, then the weak negativity of \(N_ Y\) is equivalent to the one of \(N_{Y^{{\hat{\;}}}}\). The author proves here that if \(N_{Y^{{\hat{\;}}}}\) is weakly negative, then, setting \(Y_ k = the\) subspace defined by the ideal sheaf \(I^ k\), I being the ideal sheaf of Y, \(N_{Y_ k}\) is weakly negative for k large enough. - Whether the stronger result claimed in the mentioned theorem holds true is unknown to the author and to the reviewer.
Mathematics Subject Classification ID: 32C25
Mathematics Subject Classification ID: 32C15
Mathematics Subject Classification ID: 32L05
zbMATH DE Number: 3869717
zbMATH Keywords: weak negativity
MaRDI profile type: Publication
cites work: Modifications analytiques
cites work: Über Modifikationen und exzeptionelle analytische Mengen
cites work: Über exzeptionelle Mengen
full work available at URL: https://doi.org/10.1007/bf01169587
OpenAlex ID: W2034255560
description: scientific article; zbMATH DE number 3869717