A Uniform Bound on the Brauer Groups of Certain log K3 Surfaces

被引：2

作者：

Bright, Martin ^{[1
]}

Lyczak, Julian ^{[1
]}

机构：

[1] Math Inst, Niels Bohrweg 1, NL-2333 CA Leiden, Netherlands

来源：

MICHIGAN MATHEMATICAL JOURNAL | 2019年 / 68卷 / 02期

关键词：

ABELIAN-VARIETIES; ELLIPTIC-CURVES; POINTS; TORSION;

D O I：

10.1307/mmj/1550480562

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let U be the complement of a smooth anticanonical divisor in a del Pezzo surface of degree at most 7 over a number field k. We show that there is an effective uniform bound for the size of the Brauer group of U in terms of the degree of k.

引用

页码：377 / 384

页数：8

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