Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unramified division algebras do not always contain Azumaya maximal
  orders   We show that, in general, over a regular integral noetherian affine scheme X
of dimension at least 6, there exist Brauer classes on X for which the
associated division algebras over the generic point have no Azumaya maximal
orders over X. Despite the algebraic nature of the result, our proof relies on
the topology of classifying spaces of algebraic groups.

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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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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: cs
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The categories of this paper are: supr-con