A Finiteness Theorem for the Brauer Group of K3 Surfaces in Odd Characteristic

被引：5

作者：

Skorobogatov, Alexei N. ^{[1
,2
]}

Zarhin, Yuri G. ^{[3
,4
,5
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2BZ, England

[2] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 127994, Russia

[3] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[4] Weizmann Inst Sci, Dept Math, IL-7610001 Rehovot, Israel

[5] Russian Acad Sci, Inst Math Problems Biol, Pushchino 142292, Moscow Region, Russia

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 21期

基金：

英国工程与自然科学研究理事会;

关键词：

ABELIAN-VARIETIES; FIELDS;

D O I：

10.1093/imrn/rnv030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be an odd prime and let k be a field finitely generated over the finite field with p elements. For any K3 surface X over k, we prove that the cokernel of the natural map Br(k) -> Br(X) is finite modulo the p-primary torsion subgroup.

引用

页码：11404 / 11418

页数：15

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