Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: \'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-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.

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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn