Brauer groups of diagonal quartic surfaces

被引：19
作者：
Bright, M [1 ]
机构：
[1] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2006年 / 41卷 / 05期
基金：
英国工程与自然科学研究理事会;
关键词：
Brauer-Manin obstruction; Brauer group; K3; surfaces;
D O I：
10.1016/j.jsc.2005.10.001
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We describe explicit methods of exhibiting elements of the Brauer groups of diagonal quartic surfaces. Using these methods, we compute the algebraic Brauer-Manin obstruction in two contrasting examples. In the second example, the obstruction is found to be trivial but a computer search reveals no points of small height on the surface. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：544 / 558
页数：15
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