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 |
|---|---|
| Uncontrolled Keywords: | canonical height, Pell conic |
| Subjects: | 11-xx Number theory 14-xx Algebraic geometry 20-xx Group theory and generalizations |
| ID Code: | 862 |
| Deposited By: | Professor Anry Nersesyan |
| Deposited On: | 19 Jul 2020 11:21 |
| Last Modified: | 19 Jul 2020 11:21 |
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