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.
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页码：521 / 533
页数：13
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