Polystable bundles and representations of their automorphisms
Abstract: Using a quasi-linear version of Hodge theory, holomorphic vector bundles in a neighbourhood of a given polystable bundle on a compact Kähler manifold are shown to be (poly) stable if and only if their corresponding classes are (poly) stable in the sense of geometric invariant theory with respect to the linear action of the automorphism group of the bundle on its space of in˝nitesimal deformations.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Polystable bundles and representations of their automorphisms ; volume:9 ; number:1 ; year:2022 ; pages:78-113 ; extent:36
Complex manifolds ; 9, Heft 1 (2022), 78-113 (gesamt 36)
- Creator
-
Buchdahl, Nicholas
Schumacher, Georg
- DOI
-
10.1515/coma-2021-0131
- URN
-
urn:nbn:de:101:1-2022071814421569289292
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:29 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Buchdahl, Nicholas
- Schumacher, Georg
Other Objects (12)
Torus bundles, automorphisms and T-duality
Nilpotent groups and their automorphisms
Matrices for finite group representations that respect Galois automorphisms
Surfaces isogenous to a product : their automorphisms and degenerations
LINE GRAPHS, THEIR DESARGUESIAN CLOSURES, AND CORRESPONDING GROUPS OF AUTOMORPHISMS
Automorphisms of Curves
Automorphisms of buildings
Automorphisms and strongly invariant relations
Arithmetic hyperbolicity: automorphisms and persistence
Arithmetic hyperbolicity: automorphisms and persistence
Levi Factors and Admissible Automorphisms
On representations attached to semistable vector bundles on Mumford curves
Torus bundles, automorphisms and T-duality
Nilpotent groups and their automorphisms
Matrices for finite group representations that respect Galois automorphisms
Surfaces isogenous to a product : their automorphisms and degenerations
LINE GRAPHS, THEIR DESARGUESIAN CLOSURES, AND CORRESPONDING GROUPS OF AUTOMORPHISMS
Automorphisms of Curves
Automorphisms of buildings
Automorphisms and strongly invariant relations
Arithmetic hyperbolicity: automorphisms and persistence
Arithmetic hyperbolicity: automorphisms and persistence
Levi Factors and Admissible Automorphisms
On representations attached to semistable vector bundles on Mumford curves
Torus bundles, automorphisms and T-duality
Nilpotent groups and their automorphisms
Matrices for finite group representations that respect Galois automorphisms
Surfaces isogenous to a product : their automorphisms and degenerations
LINE GRAPHS, THEIR DESARGUESIAN CLOSURES, AND CORRESPONDING GROUPS OF AUTOMORPHISMS
Automorphisms of Curves
Automorphisms of buildings
Automorphisms and strongly invariant relations
Arithmetic hyperbolicity: automorphisms and persistence
Arithmetic hyperbolicity: automorphisms and persistence
Levi Factors and Admissible Automorphisms