# Coniveau over p-adic fields and points over finite fields

Hélène Esnault

Number | 6 |
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Author | Hélène Esnault |

Year | 2007 |

If the ell-adic cohomology of a projective smooth variety, defined over a p-adic field K with finite residue field k, is supported in codimension ≥ 1 then any model over the ring of integers of K has a k-rational point.