Quadratic points on intersections of two quadrics

被引：2
|
作者：
Creutz, Brendan [1 ]
Viray, Bianca [2 ]
机构：
[1] Univ Canterbury, Sch Math & Stat, Christchurch, New Zealand
[2] Univ Washington, Dept Math, Seattle, WA USA
来源：
ALGEBRA & NUMBER THEORY | 2023年 / 17卷 / 08期
关键词：
rational points; intersections of quadrics; Brauer-Manin obstruction; DEL-PEZZO SURFACES; WEAK APPROXIMATION; HASSE PRINCIPLE; HOMOGENEOUS SPACES; BRAUER; PAIRS;
D O I：
10.2140/ant.2023.17.1411
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a smooth complete intersection of two quadrics of dimension at least 2 over a number field has index dividing 2, i.e., that it possesses a rational 0-cycle of degree 2.
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页码：1411 / 1452
页数：43
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