Group actions on local moduli space of holomorphic vector bundles

We prove that actions of complex reductive Lie groups on a holomorphic vector bundle over a complex compact manifold are locally extendable to its local moduli space.

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Bibliographic Details
Published in:Canadian mathematical bulletin Vol. 66; no. 2; pp. 553 - 567
Main Author: Doan, An-Khuong
Format: Journal Article
Language:English
Published: Canada Canadian Mathematical Society 01.06.2023
Cambridge University Press
Subjects:
Lie groups
Mathematical analysis
14B10
Deformation theory
moduli theory
equivariance structure
semi-universality
32G05
14D15
ISSN:0008-4395, 1496-4287
Online Access:Get full text
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Description
Summary:We prove that actions of complex reductive Lie groups on a holomorphic vector bundle over a complex compact manifold are locally extendable to its local moduli space.
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ISSN:0008-4395
1496-4287
DOI:10.4153/S0008439522000522