# Canonical heights on Pell conics over number fields

Okazaki, Masao (2020) Canonical heights on Pell conics over number fields. Armenian Journal of Mathematics, 12 (5). pp. 1-9. ISSN 1829-1163

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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 $\overline{\mathbb{Q}}$-rational points on Pell conics over number fields.

Item Type: Article canonical height, Pell conic 11-xx Number theory14-xx Algebraic geometry20-xx Group theory and generalizations 862 Professor Anry Nersesyan 19 Jul 2020 11:21 19 Jul 2020 11:21

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