Si la cohomologie ℓ-adique d'une variété projective, lisse, définie sur un corps -adique K à corps residuel fini k, est supportée en codimension ⩾1, alors tout modèle sur l'anneau des entiers de K a un point rationnel.
If the ℓ-adic cohomology of a projective smooth variety, defined over a -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.
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@article{CRMATH_2007__345_2_73_0, author = {Esnault, H\'el\`ene}, title = {Coniveau over $ \mathfrak{p}$-adic fields and points over finite fields}, journal = {Comptes Rendus. Math\'ematique}, pages = {73--76}, publisher = {Elsevier}, volume = {345}, number = {2}, year = {2007}, doi = {10.1016/j.crma.2007.05.017}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2007.05.017/} }
TY - JOUR AU - Esnault, Hélène TI - Coniveau over $ \mathfrak{p}$-adic fields and points over finite fields JO - Comptes Rendus. Mathématique PY - 2007 SP - 73 EP - 76 VL - 345 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2007.05.017/ DO - 10.1016/j.crma.2007.05.017 LA - en ID - CRMATH_2007__345_2_73_0 ER -
%0 Journal Article %A Esnault, Hélène %T Coniveau over $ \mathfrak{p}$-adic fields and points over finite fields %J Comptes Rendus. Mathématique %D 2007 %P 73-76 %V 345 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2007.05.017/ %R 10.1016/j.crma.2007.05.017 %G en %F CRMATH_2007__345_2_73_0
Esnault, Hélène. Coniveau over $ \mathfrak{p}$-adic fields and points over finite fields. Comptes Rendus. Mathématique, Tome 345 (2007) no. 2, pp. 73-76. doi : 10.1016/j.crma.2007.05.017. http://www.numdam.org/articles/10.1016/j.crma.2007.05.017/
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