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arXiv · 1212.6515

Bornes optimales pour la différence entre la hauteur de Weil et la hauteur de Néron-Tate sur les courbes elliptiques sur \Qbar

Peter Bruin
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Abstract

We give an algorithm that, given an elliptic curve $E$ over $\Qbar$ in Weierstraß form, computes the infimum and supremum of the difference between the na\"ıve and canonical height functions on $E(\Qbar)$. ----- Nous donnons un algorithme qui, étant donnée une courbe elliptique $E$ sur $\Qbar$ sous la forme de Weierstraß, calcule l'infimum et le supremum de la différence entre la hauteur na\"ıve et la hauteur canonique sur $E(\Qbar)$.

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Peter Bruin. 2012-12-28. Bornes optimales pour la différence entre la hauteur de Weil et la hauteur de Néron-Tate sur les courbes elliptiques sur \Qbar. https://doi.org/10.4064/aa160-4-5

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