\'Etale triviality of finite equivariant vector bundles
From MaRDI portal
Publication:5064812
DOI10.46298/EPIGA.2021.7275zbMATH Open1487.32039arXiv2103.06491OpenAlexW4206262709MaRDI QIDQ5064812
Author name not available (Why is that?)
Publication date: 16 March 2022
Published in: (Search for Journal in Brave)
Abstract: 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 -finite, meaning f_1(E)= f_2(E) as H-equivariant bundles for two distinct polynomials f_1 and f_2 whose coefficients are nonnegative integers, if and only if the pullback of E along some H-equivariant finite 'etale covering of X is trivial as an H-equivariant bundle.
Full work available at URL: https://arxiv.org/abs/2103.06491
No records found.
No records found.
This page was built for publication: \'Etale triviality of finite equivariant vector bundles
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5064812)
