PONTRYAGIN DUALITY FOR VARIETIES OVER p-ADIC FIELDS

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2022-09-28 DOI:10.1017/s1474748022000469

Thomas H. Geisser, B. Morin

引用次数: 2

Abstract

We define cohomological complexes of locally compact abelian groups associated with varieties over p-adic fields and prove a duality theorem under some assumption. Our duality takes the form of Pontryagin duality between locally compact motivic cohomology groups.

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p-ADIC场上变量的PONTRYAGIN对偶

我们定义了p-adic域上与变种相关的局部紧阿贝尔群的上同调复形，并在一定的假设下证明了对偶定理。我们的对偶是局部紧致动力上同调群之间的庞特里亚金对偶。

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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来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.