On the stability of certain higher rank bundles on \(\mathbb{P}^ N\)
type: Item
instance of: scholarly article
title: On the stability of certain higher rank bundles on \(\mathbb{P}^ N\)
zbMATH Open document ID: 0770.14009
DOI: 10.1007/BF02844672
author: E. Ballico
publication date: 1993-02-03T00:00:00Z
review text: This paper proves the stability of some vector bundles on \(\mathbb{P}^ n\), like \(\bigwedge^ 2(\Omega)\), \(\Omega\) being the sheaf of differential 1-forms on \(\mathbb{P}^ n\) (over any algebraically closed field \(K)\). -- If \(\text{char} K=0\), the paper shows also the stability of all the bundles \(A_{n,d}\) [introduced by \textit{M. L. Green}, J. Differ. Geom. 27, No. 1, 155-159 (1988; Zbl 0674.14005)] defined as kernels of maps \[ H^ 0(\mathbb{P}^ n,{\mathcal O}_{\mathbb{P}^ n}(d))\otimes{\mathcal O}_{\mathbb{P}^ n}\to{\mathcal O}_{\mathbb{P}^ n}(d). \]
reviewed by: Paolo Valabrega
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 109291
zbMATH Keywords: stability of vector bundles
MaRDI profile type: Publication
cites work: Life and death of a cohomology class
cites work: A new proof of the explicit Noether-Lefschetz theorem
cites work: On K-buchsbaum curves in P3
cites work: Lectures on Curves on an Algebraic Surface. (AM-59)
full work available at URL: https://doi.org/10.1007/bf02844672
OpenAlex ID: W2088849544
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 109291