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

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

2002-07-02

arxiv.org/abs/math/0207022v2

Mathematics

Algebraic Geometry

6 pages

Scientific paper

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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