Geodesic
Deligne’s integrality theorem in unequal characteristic and rational points over finite fields (with an Appendix by Pierre Deligne and Hélène Esnault)
Hélène Esnault 1
1 Universität Duisburg-Essen, Mathematik, 45117 Essen, Germany
Annals of mathematics, Tome 164 (2006) no. 2, pp. 715-730.

Voir la notice de l'article provenant de la source Annals of Mathematics website

If $V$ is a smooth projective variety defined over a local field $K$ with finite residue field, so that its étale cohomology over the algebraic closure $\bar{K}$ is supported in codimension 1, then the mod $p$ reduction of a projective regular model carries a rational point. As a consequence, if the Chow group of 0-cycles of $V$ over a large algebraically closed field is trivial, then the mod $p$ reduction of a projective regular model carries a rational point.
DOI : 10.4007/annals.2006.164.715

Hélène Esnault  1

1 Universität Duisburg-Essen, Mathematik, 45117 Essen, Germany 
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Hélène Esnault . Deligne’s integrality theorem in unequal characteristic and rational points over finite fields (with an Appendix by Pierre Deligne and Hélène Esnault). Annals of mathematics, Tome 164 (2006) no. 2, pp. 715-730. doi : 10.4007/annals.2006.164.715. http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.164.715/

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