A SIMPLE PROOF OF CHEBOTAREV'S DENSITY THEOREM OVER FINITE FIELDS

被引：0
|
作者：
Meagher, Steve [1 ]
机构：
[1] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 98卷 / 02期
关键词：
Chebotarev density theorem; quasi-projective variety; Frobenius conjugacy class; Lang-Weil bounds;
D O I：
10.1017/S0004972718000448
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a simple proof of the Chebotarev density theorem for finite morphisms of quasi-projective varieties over finite fields following an idea of Fried and Kosters for function fields. The key idea is to interpret the number of rational points with a given Frobenius conjugacy class as the number of rational points of a twisted variety, which is then bounded by the Lang-Weil estimates.
引用
收藏
页码：196 / 202
页数：7
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