2 papers
math.NT2026
Arithmetic statistics of isogeny Selmer groups associated to hyperelliptic curves
Martà Oller
We determine asymptotic results for the average size of Selmer groups arising from certain isogenies related to Jacobians of hyperelliptic curves of genus . We do so by co…
math.NT2025
The density of ADE families of curves having squarefree discriminant
Martà Oller
We determine the density of curves having squarefree discriminant in some families of curves that arise from Vinberg representations, showing that the global density is the product…