摘要翻译:
设k是任何特征不是2的全局域。我们构造了一个k-簇X,使得X(k)是空的,但是对于它,空性不能用Brauer-Manin阻塞来解释,甚至不能用Brauer-Manin阻塞来解释。
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英文标题:
《Insufficiency of the Brauer-Manin obstruction applied to etale covers》
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作者:
Bjorn Poonen
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Number Theory 数论
分类描述:Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数,丢番图方程,解析数论,代数数论,算术几何,伽罗瓦理论
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
Let k be any global field of characteristic not 2. We construct a k-variety X such that X(k) is empty, but for which the emptiness cannot be explained by the Brauer-Manin obstruction or even by the Brauer-Manin obstruction applied to finite etale covers.
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PDF链接:
https://arxiv.org/pdf/0806.1312