On the Brauer group of affine diagonal quadrics

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• 作者：Tetsuya Uematsu^a ; ^b ; ^{utetsuya@08.alumni.u-tokyo.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：14F22 ; 11R34 ; 14J26
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：163
• 期：Complete
• 页码：146-158
• 全文大小：315 K

文摘

In a previous work, we introduced the notion of uniform generators of the Brauer group and proved that general diagonal cubic surfaces do not have such generators. In this paper, we prove that a similar non-existence result holds for affine diagonal quadrics.