Group actions on local moduli space of holomorphic vector bundles

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.

arXiv comment16 pages, 1 figure, final version

References in corpus (3)

• Equivariant Kuranishi family of complex compact manifolds
• A counter-example to the equivariance structure on semi-universal deformation
• An Analytic Application of Geometric Invariant Theory

Cited by in corpus (1)

• Local structure of the Teichmüller and the Riemann moduli stacks