Deligne's integrality theorem in unequal characteristic and rational points over finite fields (with an appendix by P. Deligne and H. Esnault)

• Autores: Hélène Esnault
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 164, Nº 2, 2006, págs. 715-730
• Idioma: inglés
• DOI: 10.4007/annals.2006.164.715
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• Resumen

  • If V is a smooth projective variety defined over a local field K with fi- nite residue field, so that its ¿etale cohomology over the algebraic closure ¯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.