Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finiteness of fppf cohomology   Let $R$ be a Henselian DVR with finite residue field. Let $G$ be a finite
type, flat $R$-group scheme (not necessarily commutative) with smooth generic
fiber. We show that $H^1_{\mathrm{fppf}}(\mathrm{Spec} R,G)$ is finite. We then
give an application of the global analogue of this finiteness result to PEL
type integral models of Shimura varieties.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: comp-gas