Author

Jack Petok

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Preprint Sep 2026

Geometric realizations of Brauer classes on K3 surfaces from hyperk\"ahler contractions

Elements of the Brauer group $\operatorname{Br}(S)$ of a variety $S$ have geometric incarnations as \'etale-projective $S$-bundles, yet producing minimalist constructions of such bundles, which often power arithmetic applications, remains a difficult problem. When $S$ is a K3 surface with Picard rank $1$, we use the bi...

Sarah Frei, Jack Petok, Anthony Várilly-Alvarado · 0 citations

Open access May 2025

Zeta functions of K3 categories over finite fields

We study the arithmetic of the K3 category associated to a cubic fourfold over a non-algebraically closed field k, specifically, the Galois representation on its ℓ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...

Asher Auel, Jack Petok · Research in Number Theory · 0 citations