Canonical heights on Pell conics over number fields

Masao Okazaki

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Abstract

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 ¯¯¯¯QQ¯-rational points on Pell conics over number fields.

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Canonical heights on Pell conics over number fields

Abstract

Author(s)

Table of Contents

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Canonical heights on Pell conics over number fields

Abstract

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