A note on positivity of Einstein bundles
type: Item
instance of: scholarly article
title: A note on positivity of Einstein bundles
zbMATH Open document ID: 0751.32016
DOI: 10.1016/0019-3577(91)90019-4
published in: Indagationes Mathematicae. New Series
publication date: 1992-09-27T00:00:00Z
review text: The following result is obtained. Let \(X\) be a compact Kähler surface and \(E\) be a Hermitian bundle of rank 2 on \(X\) such that the first Chern form \(c_ 1(E)\) is equal to the Kähler form \(\omega\) up to a positive constant. Suppose that the first and second Chern forms satisfy \(c^ 2_ 1(E)-2c_ 2(E)=\varphi\centerdot\omega^ 2\), where \(\varphi\) is a positive function. Then \(E\) is positive. This is a differential algebraic version of an algebraic ampleness criterion of M. Schneider and A. Tancredi.
Mathematics Subject Classification ID: 32Q20
Mathematics Subject Classification ID: 32J15
zbMATH DE Number: 57313
zbMATH Keywords: compact Kähler surface
zbMATH Keywords: Hermitian bundle
author: M. Lübke
MaRDI profile type: Publication
full work available at URL: 0019-3577(91)90019-4
OpenAlex ID: W1974205078
cites work: Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
cites work: Infinite determinants, stable bundles and curvature
cites work: Q5598869
cites work: Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
cites work: Q3995501
cites work: Stability of Einstein-Hermitian vector bundles
cites work: Q3720718
cites work: Positive vector bundles on complex surfaces
cites work: Negatively curved metrics on Kodaira surfaces
cites work: On the existence of hermitian-yang-mills connections in stable vector bundles
cites work: A note on our previous paper: On the existence of Hermitian Yang–Mills connections in stable vector bundles
description: scientific article; zbMATH DE number 57313