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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Vydané v:Canadian mathematical bulletin Ročník 66; číslo 2; s. 553 - 567
Hlavný autor: Doan, An-Khuong
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Canada Canadian Mathematical Society 01.06.2023
Cambridge University Press
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ISSN:0008-4395, 1496-4287
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Shrnutí: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.
Bibliografia:ObjectType-Article-1
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content type line 14
ISSN:0008-4395
1496-4287
DOI:10.4153/S0008439522000522