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math.NT2025
A framework for Tate modules of abelian varieties under isogeny
Sarah Frei, Katrina Honigs, John Voight
We explain the linear algebraic framework provided by Tate modules of isogenous abelian varieties in a category-theoretic way.
math.NT2023★ 1 cited
On abelian varieties whose torsion is not self-dual
Sarah Frei, Katrina Honigs, John Voight
We construct infinitely many abelian surfaces A defined over the rational numbers such that, for a prime ell <= 7, the ell-torsion subgroup of A is not isomorphic as a Galois modul…
math.NT2017
The a-number of hyperelliptic curves
Sarah Frei
It is known that for a smooth hyperelliptic curve to have a large -number, the genus must be small relative to the characteristic of the field, , over which the curve is de…