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math.AGJan 1, 2022
2
citations (OpenAlex)
authors
  • An Khuong Doan
institutions
  • Institut de Mathématiques de Jussieu-Paris Rive Gauche
  • Sorbonne Université
arXiv abstractPDF
paper

Group actions on local moduli space of holomorphic vector bundles

arXiv:2201.10851 · doi:10.4153/S0008439522000522

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.

16 pages, 1 figure, final version

References in corpus (1)

  • An Analytic Application of Geometric Invariant Theory

Cited by in corpus (1)

  • Local structure of the Teichmüller and the Riemann moduli stacks
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