Rationality of a quotient of a Severi-Brauer variety by a Kummer automorphism

被引：0

作者：

Gille, Philippe ^{[1
]}

机构：

[1] Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2006年 / 13卷 / 01期

关键词：

Severi-Brauer varieties; Galois cohomology; central simple algebras;

D O I：

10.36045/bbms/1148059330

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S/k be a Severi-Brauer variety defined over a field k. Let f be a Kummer automorphism of S, i.e. an automorphism of order n = dim(k) (S) + 1 with finitely many fixed points. If k contains a primitive n-th root. of unity, then the field k(S)(f) of f-invariant rational functions is purely transcendental over k.

引用

页码：39 / 42

页数：4