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math.NT2000
Rank frequencies for quadratic twists of elliptic curves
Karl Rubin, Alice Silverberg
We give explicit examples of infinite families of elliptic curves E over Q with (nonconstant) quadratic twists over Q(t) of rank at least 2 and 3. We recover some results announced…
math.NT2000
Symplectic representations of inertia groups
A. Silverberg, Yu. G. Zarhin
Suppose is a prime number, , is a field that is an unramified finite extension of the field $\Q_\ell$ of -adic numbers, and is a finite group that is…
math.AG2000
Polarizations on abelian varieties
A. Silverberg, Yu. G. Zarhin
The results in this paper imply that for every number field F and positive integer r, there exists an F-isogeny class of abelian varieties such that r divides the degree of every F…