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arXiv:1405.7380 [math.AG]AbstractReferencesReviewsResources

Zeta Functions of Curves with no Rational Points

Daniel Litt

Published 2014-05-28Version 1

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.

Comments: 12 pages, comments welcome
Categories: math.AG, math.NT
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