Holomorphe Vektorbündel auf \({\mathbb{P}}_ n\) mit \(c_ 1=0\) und \(c_ 2=1\)
type: Item
instance of: scholarly article
title: Holomorphe Vektorbündel auf \({\mathbb{P}}_ n\) mit \(c_ 1=0\) und \(c_ 2=1\)
zbMATH Open document ID: 0544.14011
DOI: 10.1007/BF01169582
author: Heinz Spindler
published in: Manuscripta Mathematica
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/154931
review text: Un fibré vectoriel holomorphe sur un espace projectif \({\mathbb{P}}_ n\), trivial sur la droite générale, est semistable de classe de Chern \(c_ 1=0\), d'où résulte aussi \(c_ 2\geq 1\). L'A. classifie tous ces fibrés, ayant \(c_ 2=1\). On a trois familles \((c_ 3=2,0,-2)\) si \(rang(E)\geq n,\) et aussi les ''null-corelation bundles'' pour n impair et \(rang(E)=n-1.\)
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 32L05
Mathematics Subject Classification ID: 57R20
zbMATH DE Number: 3865466
zbMATH Keywords: holomorphic vector bundle
zbMATH Keywords: null-corelation bundle
zbMATH Keywords: monade
zbMATH Keywords: Chern class
MaRDI profile type: Publication
cites work: Coherent sheaves on \({\mathbb{P}}^n\) and problems of linear algebra
cites work: Stable vector bundles on projective spaces in \(\text{char}p>0\)
cites work: Bounding cohomology groups of vector bundles on \(\mathbb{P}_n\)
cites work: Secant Bundles and Todd's Formula for the Double Points of Maps into P n
cites work: Vector bundles on complex projective spaces
cites work: Chernklassen semi-stabiler Vektorraumbündel vom Rang 3 auf dem komplex-projektiven Raum.
cites work: Ein Satz über die Einschränkung holomorpher Vektorbündel auf Pn mit c1 = 0 auf Hyperebenen.
cites work: The moduli of a class of rank 2 vector bundles on P3
description: scientific article; zbMATH DE number 3865466