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math.NT2023★ 7 cited
Computing quadratic points on modular curves
Nikola Adžaga, Timo Keller, Philippe Michaud-Jacobs +3
In this paper we improve on existing methods to compute quadratic points on modular curves and apply them to successfully find all the quadratic points on all modular curves $X_0(N…
math.NT2023
Specialization of Mordell-Weil ranks of abelian schemes over surfaces to curves
Timo Keller
Using the Shioda-Tate theorem and an adaptation of Silverman's specialization theorem, we reduce the specialization of Mordell-Weil ranks for abelian varieties over fields finitely…