Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak approximation and Manin group of R-equivalences   We extend an exact sequence of Colliot-Thelene and Sansuc which connects
arithmetic and birational invariants of tori over a number field to one for
arbitrary connected linear algebraic groups.

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The categories of this paper are: hep-th
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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: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio