Rank-2 vector bundles with many sections and low \(c_ 2\) on a surface
type: Item
instance of: scholarly article
title: Rank-2 vector bundles with many sections and low \(c_ 2\) on a surface
zbMATH Open document ID: 0685.14011
DOI: 10.1007/BF00147473
author: E. Ballico
published in: Geometriae Dedicata
publication date: 1989-01-01T00:00:00Z
review text: Let V be a projective variety with \(\dim (V)=n\) and let E be a vector bundle over V with \(rk(E)=n\) and \(t=c_ n(E)>0\). The author defines a new interesting numerical invariant s(E) such that \(n\leq s(E)\leq nt\). Then he shows that the extreme cases \(s(E)=nt\) or \(s(E)=n\) occur only when the pair (V,E) has certain very special properties, i.e. in many such cases complete classification is possible.
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 57R20
zbMATH DE Number: 4122113
zbMATH Keywords: rank-2 vector bundles
zbMATH Keywords: invariant of vector bundle
reviewed by: Alexandru Dimca
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4122113