Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rationally connected varieties over finite fields   Let X be a geometrically rational (or more generally, separably rationally
connected) variety over a finite field K. We prove that if K is large enough
then X contains many rational curves defined over K. As a consequence we prove
that R-equivalence is trivial on X if K is large enough. These imply that if Y
is defined over a local field and it has good, separably rationally connected
reduction then the Chow group of zero cycles is trivial for any residue field.
R-equivalence is also trivial if the residue field is large enough.

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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom