Construction of rank two vector bundles on \(\mathbb{P}^{4}\) in positive characteristic
type: Item
instance of: scholarly article
title: Construction of rank two vector bundles on \(\mathbb{P}^{4}\) in positive characteristic
zbMATH Open document ID: 0913.14011
published in: Inventiones Mathematicae
publication date: 1997-12-10T00:00:00Z
review text: The main result of this paper is the construction in positive characteristic of several rank two non-splitted vector bundles on \(\mathbb{P}^4\) (even with the same Chern classes as the Horrocks-Mumford bundle, but different from it). The main tool is a characteristic free new criterion for the extension to \(\mathbb{P}^{n+1}\) of a bundle defined on the \(m\)-th thickening of a hyperplane of \(\mathbb{P}^{n+1}\). As remarked by the author it is very difficult to apply this criterion outside the very interesting case applied in this paper for the construction of these new bundles in \(\mathbb{P}^4\).
reviewed by: E. Ballico
Mathematics Subject Classification ID: 14J60
Mathematics Subject Classification ID: 14M07
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 1096052
zbMATH Keywords: non-splitted vector bundles on \(\mathbb{P}^4\)
zbMATH Keywords: infinitesimal neighborhood
zbMATH Keywords: positive characteristic
zbMATH Keywords: Horrocks-Mumford bundle
author: N. Mohan Kumar
MaRDI profile type: Publication
full work available at URL: s002220050185
OpenAlex ID: W1995209994
DOI: 10.1007/S002220050185
description: scientific article; zbMATH DE number 1096052