\'Etale triviality of finite equivariant vector bundles

Let H be a complex Lie group acting holomorphically on a complex analytic space X such that the restriction to X_{\mathrm{red}} of every H-invariant regular function on X is constant. We prove that an H-equivariant holomorphic vector bundle E over X is $H$-finite, meaning f_1(E)= f_2(E) as H-equivar...

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Bibliographic Details
Main Authors: Indranil Biswas, Peter O'Sullivan
Format: Article
Language:English
Published: Association Epiga 2021-11-01
Series:Épijournal de Géométrie Algébrique
Subjects:
Online Access:https://epiga.episciences.org/7275/pdf