某些品种上零环的Brauer-Manin阻塞

IF 0.3 4区数学 Q4 MATHEMATICS Journal De Theorie Des Nombres De Bordeaux Pub Date : 2021-11-11 DOI:10.5802/jtnb.1241

Evis Ieronymou

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引用次数: 0

摘要

研究了与Brauer群正交的阶$d$的局部零环族的存在性是否暗示了Brauer- manin集合对某些变量的非空性。我们给出了各种证明存在适当度零环的Brauer-Manin障碍的例子。

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Brauer–Manin obstruction for zero-cycles on certain varieties

We investigate the question of whether the existence of a family of local zero-cycles of degree $d$ orthogonal to the Brauer group implies the non-emptiness of the Brauer-Manin set for certain varieties. We provide various examples of Brauer-Manin obstruction to the existence of zero-cycles of appropriate degrees.

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