Ranks of elliptic curves in families of quadratic twists.
Rank frequencies for quadratic twists of elliptic curves.
Torsion points on abelian varieties of CM-type
Mordell-Weil groups of generic Abelian varieties.
Semistable reduction and torsion subgroups of abelian varieties
The main result of this paper implies that if an abelian variety over a field has a maximal isotropic subgroup of -torsion points all of which are defined over , and , then the abelian variety has semistable reduction away from . This result can be viewed as an extension of Raynaud’s theorem that if an abelian variety and all its -torsion points are defined over a field and , then the abelian variety has semistable reduction away from . We also give information about the Néron models...
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