约简下K3表面上Brauer类的消失

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-12-11 DOI:10.1112/jlms.70051

Davesh Maulik, Salim Tayou

引用次数: 0

摘要

给定一个数域上定义的 K3 曲面上的布劳尔类，我们证明在某些技术假设条件下，存在无穷多个布劳尔类消失的还原，回答了弗莱-哈塞特-瓦里利-阿尔瓦拉多提出的一个问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Vanishing of Brauer classes on K3 surfaces under reduction

Given a Brauer class on a K3 surface defined over a number field, we prove that there exists infinitely many reductions where the Brauer class vanishes, under certain technical hypotheses, answering a question of Frei–Hassett–Várilly-Alvarado.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.