Polystable bundles and representations of their automorphisms-Reference-Cited by-同舟云学术

Polystable bundles and representations of their automorphisms

Published:2022-01-01 Issue:1 Volume:9 Page:78-113
ISSN:2300-7443
Container-title:Complex Manifolds
language:en
Short-container-title:

Author:

Buchdahl Nicholas¹,Schumacher Georg²

Affiliation:

1. School of Mathematical Sciences , University of Adelaide , Adelaide , Australia 5005.

2. Fachbereich Mathematik und Informatik , Philipps-Universität Marburg , Lahnberge, Hans-Meerwein-Strasse , Marburg , Germany .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/coma-2021-0131/pdf

Reference35 articles.

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