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

页码：53 / 75

页数：23

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