4 citations · 9 across the 11 of their papers we have counts for
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math.NT2021★ 2 cited
On the proportion of locally soluble superelliptic curves
Lea Beneish, Christopher Keyes
We investigate the proportion of superelliptic curves that have a point for every place of . We show that this proportion is positive and given by th…
math.NT2021
Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6
Nikola Adžaga, Vishal Arul, Lea Beneish +4
We use the method of quadratic Chabauty on the quotients of modular curves by their Fricke involutions to provably compute all the rational points of these curv…
math.NT2021
Fields generated by points on superelliptic curves
Lea Beneish, Christopher Keyes
We give an asymptotic lower bound on the number of field extensions generated by algebraic points on superelliptic curves over with fixed degree and discriminant b…