Tame class field theory for singular varieties over finite fields

被引：2

作者：

Geisser, Thomas ^{[1
]}

Schmidt, Alexander ^{[2
]}

机构：

[1] Rikkyo Univ, Dept Math, Toshima Ku, 3-34-1 Nishi Ikebukuro, Tokyo 1718501, Japan

[2] Heidelberg Univ, Math Inst, Neuenheimer Feld 205, D-69120 Heidelberg, Germany

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2017年 / 19卷 / 11期

关键词：

Class field theory; Suslin homology; Weil-etale cohomology; HOMOLOGY; COHOMOLOGY; CONJECTURE; SURFACES;

D O I：

10.4171/JEMS/744

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Schmidt and SpieB described the abelian tame fundamental group of a smooth variety over a finite field by using Suslin homology. In this paper we show that their result generalizes to singular varieties if one uses Weil-Suslin homology instead.

引用

页码：3467 / 3488

页数：22

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