Stably rational surfaces over a quasi-finite field

被引：0

作者：

Colliot-Thelene, J-L ^{[1
]}

机构：

[1] Univ Paris Saclay, Univ Paris Sud, CNRS, Dept Math, Dorsay, France

来源：

IZVESTIYA MATHEMATICS | 2019年 / 83卷 / 03期

关键词：

rational surfaces; stable rationality; quasi-finite fields; cyclic splitting; Brauer group; MANIN INVARIANT;

D O I：

10.1070/IM8761

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be a field and X a smooth, projective, stably k-rational surface. If X is split by a cyclic extension (for example, if the field k is finite or, more generally, quasi-finite), then the surface X is k-rational.

引用

页码：521 / 533

页数：13