100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Linda Frey

Explicit Small Height Bound for $\mathds{Q} (E_\text{tor})$
Jeudi, 5 Avril, 2018 - 10:30
Résumé : 

Let $E$ be an elliptic curve defined over $\mathbb{Q}$. We will show that there exists an explicit constant $C$ which is only dependent on the conductor and the $j-$invariant of $E$ such that the absolute logarithmic Weil height of an $\alpha \in \mathbb{Q} (E_{tor})^* - \mu_\infty $

is always greater than $C$ where $E_\text{tor}$ denotes all the torsion points of $E$ and $\mu_\infty$ are the roots of unity.

Institution de l'orateur : 
Basel
Thème de recherche : 
Théorie des nombres
Salle : 
Salle 4
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