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math.AG2026
An approach to curves in abelian surfaces using Fourier--Mukai and quadratic forms
Katrina Honigs, Graham McDonald, Peter M. McDonald
It was proven by Yoshioka that given a complex abelian surface of Picard rank whose primitive polarization is non-principal of type , there is an isomorphism $Ψ:\mat…
math.AG2025
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…
math.AG2025
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…