4 papers
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.
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…
Involutions of curves in abelian surfaces and their Jacobians
Katrina Honigs, Pijush Pratim Sarmah
We examine étale covers of genus two curves that occur in the linear system of a polarizing line bundle of type on a complex abelian surface. We give results counting fixe…
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 -polariz…