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

页码：544 / 558

页数：15

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