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Varieties over a finite field with trivial Chow group of 0-cycles have a rational point

Hélène Esnault
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Abstract

Smooth projective varieties $X$ over a finite field $k$ with $CH_0(X\otimes \bar{k(X)})=\mathbb Z$ have a rational point, in particular Fano varieties. We also refer to http://link.springer.de/link/service/journals/00222/tocs.htm where the last version, cleaned from some typos, should be published online.

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Hélène Esnault. 2002-07-02. Varieties over a finite field with trivial Chow group of 0-cycles have a rational point. https://doi.org/10.1007/s00222-002-0261-8

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