On globally generated vector bundles on surfaces with \(c_ 2=1\)
type: Item
instance of: scholarly article
title: On globally generated vector bundles on surfaces with \(c_ 2=1\)
zbMATH Open document ID: 0664.14009
DOI: 10.1007/BF00181496
published in: Geometriae Dedicata
publication date: 1988-01-01T00:00:00Z
review text: The author proves necessary and sufficient conditions for a smooth, compact complex surface S to have a rank-2 vector bundle E that is generated by global sections and satisfies \(c_ 2(E)=1\). It follows that S must be projective and rational. The paper concludes with few miscellaneous results in case S is of dimension greater than 2.
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 32L05
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 32J15
Mathematics Subject Classification ID: 14J20
zbMATH DE Number: 4085797
zbMATH Keywords: compact complex surface
zbMATH Keywords: rank-2 vector bundle
author: E. Ballico
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00181496
OpenAlex ID: W1992849330
description: scientific article; zbMATH DE number 4085797