Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Common hyperbolic bases for chains of alternating or quadratic lattices   We give a short and purely bilinear proof of the fact that two chains of
$p$-elementary lattices with quadratic form or alternating bilinear form over
the $p$-adic integers ore more generally over a complete discrete valuation
ring have common hyperbolic bases. This fact, which is useful for the study of
Bruhat-Tits buildings, has been proven before with different methods by
Abramenko and Nebe and by Frisch.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: econ