数域上佩尔曲线的正则高度

IF 0.5 Q3 MATHEMATICS Armenian Journal of Mathematics Pub Date : 2020-07-17 DOI:10.52737/18291163-2020.12.5-1-9

Masao Okazaki

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引用次数: 0

摘要

Lemmermeyer在“Pell锥上的更高下降。III.第一个2-下降”中介绍了Pell锥有理点群上的规范高度，这是椭圆曲线上规范高度的类似物。在本文中，我们推广了这一点：我们引入了数域上Pell锥上Q有理点群的规范高度。

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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Canonical heights on Pell conics over number fields

In "Higher descent on Pell conics. III. The first 2-descent", Lemmermeyer introduced the canonical heights on the groups of rational points on Pell conics, which are analogues of the canonical heights on elliptic curves. In this paper, we generalize this: We introduce the canonical heights on the groups of Q-rational points on Pell conics over number fields.

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