Local Bounds for Torsion Points on Abelian Varieties
Local Bounds for Torsion Points on Abelian Varieties
Abstract We say that an abelian variety over a p -adic field K has anisotropic reduction (AR) if the special fiber of its Néronminimal model does not contain a nontrivial split torus. This includes all abelian varieties with potentially good reduction and, in particular, those with complex or quaternionic multiplication. …