Torsion bounds for a fixed abelian variety and varying number field

Samuel Le Fourn, Davide Lombardo, David Zywina

Let $A$ be an abelian variety defined over a number field $K$. For a finite extension $L/K$, the cardinality of the group $A(L{)}_{\mathrm{tors}}$ of torsion points in $A(L)$ c…