Canonical heights on Pell conics over number fields
Armenian Journal of Mathematics
View Publication Info| Field | Value | |
| Title |
Canonical heights on Pell conics over number fields
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| Creator |
Okazaki, Masao
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| Subject |
canonical height
Pell conic 11G50 11D09 14G05 14H50 20G30 |
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| Description |
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.
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| Publisher |
National Academy of Sciences of Armenia
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| Date |
2020-07-17
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| Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
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| Format |
application/pdf
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| Identifier |
http://armjmath.sci.am/index.php/ajm/article/view/387
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| Source |
Armenian Journal of Mathematics; Vol. 12 No. 5 (2020): Canonical heights on Pell conics over number fields; 1-9
1829-1163 |
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| Language |
eng
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| Relation |
http://armjmath.sci.am/index.php/ajm/article/view/387/158
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| Rights |
Copyright (c) 2020 Armenian Journal of Mathematics
http://creativecommons.org/licenses/by/4.0 |
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