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

Abstract

Smooth projective varieties $X$ over a finite field $k$ with $C{H}_0(X\otimes \overline{k(X)})=\mathbb{Z}$ 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.

6 pages

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