On the unramified cohomology in degree three of a product

被引：2
|
作者：
Pirutka, Alena [1 ]
机构：
[1] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France
来源：
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2016年 / 144卷 / 01期
关键词：
Cohomologie non ramifiee; zero-cycles; applications residu; corps finis; CHOW GROUPS;
D O I：
10.24033/bsmf.2706
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let F be a finite field and let C be a smooth projective curve over F. We establish that the third unramified cohomology of the product X x C vanishes for some smooth projective surfaces X over F. This applies in particular to geometrically rational surfaces.
引用
收藏
页码：53 / 75
页数：23
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