5 citations · 6 across the 8 of their papers we have counts for
13 papers
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…
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 fixed…
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.
An explicit derived McKay correspondence for some complex reflection groups of rank two
Anirban Bhaduri, Yael Davidov, Eleonore Faber +4
In this paper, we explore the derived McKay correspondence for several reflection groups, namely reflection groups of rank two generated by reflections of order two. We prove that…
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…
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…
Groups of symplectic involutions on symplectic varieties of Kummer type and their fixed loci
Sarah Frei, Katrina Honigs
We describe the Galois action on the middle -adic cohomology of smooth, projective fourfolds that occur as a fiber of the Albanese morphism on moduli spaces of sheav…
A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold
Sachi Hashimoto, Katrina Honigs, Alicia Lamarche +1
In this paper we investigate the -rational points of a class of simply connected Calabi-Yau threefolds, which were originally studied by Hosono and Takagi in the contex…
Rational points and derived equivalence
Nicolas Addington, Benjamin Antieau, Sarah Frei +1
We give the first examples of derived equivalences between varieties defined over non-closed fields where one has a rational point and the other does not. We begin with torsors ove…
Fourier-Mukai partners of Enriques and bielliptic surfaces in positive characteristic
Katrina Honigs, Max Lieblich, Sofia Tirabassi
We prove that a twisted Enriques (respectively, untwisted bielliptic) surface over an algebraically closed field of positive characteristic at least 3 (respectively, at least 5) ha…
Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic
Katrina Honigs, Luigi Lombardi, Sofia Tirabassi
We prove that any Fourier--Mukai partner of an abelian surface over an algebraically closed field of positive characteristic is isomorphic to a moduli space of Gieseker-stable shea…
Derived equivalence, Albanese varieties, and the zeta functions of 3-dimensional varieties
Katrina Honigs, Jeff Achter, Sebastian Casalaina-Martin +1
We show that any derived equivalent smooth, projective varieties of dimension 3 over a finite field have equal zeta functions. This result is an application of the e…
Derived equivalent surfaces and abelian varieties, and their zeta functions
Katrina Honigs
In this paper, it is demonstrated that derived equivalence between smooth, projective, connected schemes that are either surfaces or abelian implies equality of zeta functions.