Stable bundles with torsion Chern classes on non-Kählerian elliptic surfaces
type: Item
instance of: scholarly article
title: Stable bundles with torsion Chern classes on non-Kählerian elliptic surfaces
zbMATH Open document ID: 0846.14026
DOI: 10.1007/BF02570492
author: Rüdiger Plantiko
published in: Manuscripta Mathematica
publication date: 1996-10-06T00:00:00Z
full work available at URL: https://eudml.org/doc/156105
review text: The author gives a description of the moduli space of stable vector bundles with torsion Chern classes on a non-Kählerian elliptic surface \(\pi : X \to B\) with generic fibre \(F\). The moduli space has an induced fibred structure with base \(\text{Pic}^0 (F)\) and the moduli space of stable parabolic bundles on \(B^{\text{orb}}\) as fibre.
Mathematics Subject Classification ID: 14J15
Mathematics Subject Classification ID: 14J27
Mathematics Subject Classification ID: 14J60
Mathematics Subject Classification ID: 14D20
zbMATH DE Number: 824177
zbMATH Keywords: moduli space
zbMATH Keywords: elliptic surface
reviewed by: Giuseppe Tomassini
MaRDI profile type: Publication
cites work: Parabolic bundles, elliptic surfaces and \(SU(2)\)-representation spaces of genus zero Fuchsian groups
cites work: The algebraic geometry of representation spaces associated to Seifert fibered homology 3-spheres
cites work: Representations of orbifold groups and parabolic bundles
cites work: Q5749404
cites work: Neron-Severi group for nonalgebraic elliptic surfaces. I: Elliptic bundle case
cites work: Q5507831
cites work: Q4289665
cites work: On the Structure of Compact Complex Analytic Surfaces, I
cites work: Kähler metrics on elliptic surfaces
cites work: Moduli of vector bundles on curves with parabolic structures
cites work: The Picard group of a quasi-bundle
cites work: On the existence of hermitian-yang-mills connections in stable vector bundles
cites work: π1 OF ELLIPTIC AND HYPERELLIPTIC SURFACES
description: scientific article; zbMATH DE number 824177