On the Invariant of Chen-Kuan for Abelian Varieties

IF 0.2 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.755

Hyunsuk Moon

引用次数: 1

Abstract

Let A be an abelian variety over a global field K. We show that, in “many” cases, Chen-Kuan’s invariant M(A[n]), that is the average number of n-torsion points of A over various residue fields of K, has the minimal possible value.

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关于阿贝尔变项的陈宽不变性

设A是全局域K上的一个阿贝尔变分。我们证明，在“许多”情况下，陈宽的不变量M(A[n])，即A在K的各种剩余域上n个扭转点的平均值，具有最小可能值。

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

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.