关于伽罗瓦轨道数的计算

IF 0.6 Q3 MATHEMATICS Kyungpook Mathematical Journal Pub Date : 2016-12-23 DOI:10.5666/KMJ.2016.56.4.1135

Hyunsuk Moon

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引用次数: 0

摘要

设A是全局域K上的一个阿贝尔变体。我们知道[6,7]，在许多情况下，A在K的各种剩余域上的n个扭转点的平均值取最小可能值。本文通过计算伽罗瓦轨道的数目，研究了几种缺陷情况。

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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On the Calculation of the Number of Galois Orbits

Let A be an abelian variety over a global field K. We know [6, 7] that, in many cases, the average number of n-torsion points of A over various residue fields of K, takes the minimal possible value. In this article, we study several defect cases by calculating the number of Galois orbits.

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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.