Vol. 12 No. 5 (2020): Canonical heights on Pell conics over number fields

Articles

• Articles

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

  References

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