关于伽罗瓦轨道数的计算

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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