Some vanishing properties of the intermediate cohomology of a reflexive sheaf on \(\mathbb{P}^ n\)
type: Item
instance of: scholarly article
title: Some vanishing properties of the intermediate cohomology of a reflexive sheaf on \(\mathbb{P}^ n\)
zbMATH Open document ID: 0831.14008
published in: Journal of Algebra
publication date: 1995-01-30T00:00:00Z
review text: Let \(F\) be a vector bundle or a reflexive sheaf on \(\mathbb{P}_3\). The paper is devoted to the study of some vanishing properties of the intermediate cohomology of \(F\). Most of the results of the paper repeat well-known results, for example, from \textit{L. Chiantini} and \textit{P. Valabrega} [Ann. Mat. Pura Appl., IV. Ser. 138, 309-330 (1984; Zbl 0569.14014)]. The authors' approach, in contrast with the previously published papers on the subject, involves the notion of the spectrum of \(F\). This gives some additional estimates for \(h^2F (m)\) and eliminates the restriction on the characteristic of the base field.
Mathematics Subject Classification ID: 14F17
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 703033
zbMATH Keywords: vanishing properties of the intermediate cohomology
author: Margherita Roggero
author: Paolo Valabrega
reviewed by: Valery K. Vedernikov
MaRDI profile type: Publication
full work available at URL: jabr.1994.1340
OpenAlex ID: W2018687865
DOI: 10.1006/JABR.1994.1340
description: scientific article; zbMATH DE number 703033