论文标题

椭圆曲线的周期索引问题和PICARD堆栈的基本维度

The period-index problem for elliptic curves and the essential dimension of Picard stacks

论文作者

Gao, Anningzhe

论文摘要

在本文中,我们将考虑椭圆曲线的周期索引问题,并引入一个称为通用索引的值,该值与PICARD堆栈的基本维度相关。特别是,我们将使用示例来查看通常的时期和通用索引不同。卡塞尔的例子是我们的构建不同的。

In this paper, we will consider the period index problems of elliptic curves and introduce a value called generic index which is closed related to the essential dimension of Picard stacks. In particular, we will use examples to see that usually the period and generic index are different. Our construction is different with Cassel's example.

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