Canonical heights on Pell conics over number fields

Author(s)

Canonical heights on Pell conics over number fields Masao Okazaki

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.

DOI: 10.52737/18291163-2020.12.5-1-9 Armenian Journal of Mathematics, 12(5) 1-9

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Keywords

canonical height, Pell conic

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