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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.AG2023
Theta characteristics and the fixed locus of [-1] on some varieties of Kummer type
Katrina Honigs, Graham McDonald
We study some combinatorial aspects of the fixed loci of symplectic involutions acting on hyperkähler varieties of Kummer type. Given an abelian surface with a -polariza…