Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Euler top and canonical lifts   In this note, we prove a finiteness result for fibers that are canonical
lifts in a given elliptic fibration. The question was motivated by the authors'
construction of an arithmetic Euler top, and it highlights an interesting
discrepancy between the arithmetic and the classical case: in the former, it is
impossible to extend the flows to a compactification of the phase space, viewed
as an elliptic fibration over the space of action variables.

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The categories of this paper are: q-bio
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The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: eess