4 papers
Geometric realizations of Brauer classes on K3 surfaces from hyperkähler contractions
Sarah Frei, Jack Petok, Anthony Várilly-Alvarado
Elements of the Brauer group of a variety have geometric incarnations as étale-projective -bundles, yet producing minimalist constructions of such bun…
Zeta functions of K3 categories over finite fields
Asher Auel, Jack Petok
We define the zeta function of a noncommutative K3 surface over a finite field, an invariant under Fourier-Mukai equivalence that can be used to define point counts in this noncomm…
On decompositions for Fano schemes of intersections of two quadrics
Pieter Belmans, Jishnu Bose, Sarah Frei +6
We propose conjectural semiorthogonal decompositions for Fano schemes of linear subspaces on intersections of two quadrics, in terms of symmetric powers of the associated hyperelli…
A census of cubic fourfolds over
Asher Auel, Avinash Kulkarni, Jack Petok +1
We compute a complete set of isomorphism classes of cubic fourfolds over . Using this, we are able to compile statistics about various invariants of cubic fourfolds,…