Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeta Functions of Curves with no Rational Points   We show that the motivic zeta functions of smooth, geometrically connected
curves with no rational points are rational functions. This was previously
known only for curves whose smooth projective models have a rational point on
each connected component. In the course of the proof we study the class of a
Severi-Brauer scheme over a general base in the Grothendieck ring of varieties.

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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org