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Group actions on local moduli space of holomorphic vector bundles

Part of: Families, fibrations Deformations of analytic structures Local theory

Published online by Cambridge University Press:  18 August 2022

An-Khuong Doan Open the ORCID record for An-Khuong Doan [Opens in a new window]
An-Khuong Doan*
Affiliation:
IMJ-PRG, UMR 7586, Sorbonne Université, Case 247, 4 place Jussieu, 75252 Paris Cedex 05, France
*
e-mail: an-khuong.doan@imj-prg.fr
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Abstract

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.

Keywords

Deformation theorymoduli theoryequivariance structuresemi-universality

MSC classification

Primary: 14D15: Formal methods; deformations
Secondary: 14B10: Infinitesimal methods 32G05: Deformations of complex structures

Information

Type
Article
Information
Canadian Mathematical Bulletin , Volume 66 , Issue 2 , June 2023 , pp. 553 - 567
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of The Canadian Mathematical Society

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