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1. K3 surfaces of any Artin-Mazur height over $\mathbb{F}_5$ and $\mathbb{F}_7$ via Quasi-F-split singularities and GPU acceleration

Author

Batubara, Ryan, Garzella, Jack J, and Pan, Alex

Subjects
Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, Mathematics - Number Theory, 14E99, 13P99, 11Y40, 11G25, 14G15
Abstract

We develop a fast algorithm to calculate the Artin-Mazur height (equivalently, the quasi-$F$-split height) of a Calabi-Yau hypersurface, building on the work in arXiv:2204.10076. We provide a implementation of our approach, and use it to show that there are quartic K3 surfaces of any Artin-Mazur height over $\mathbb{F}_{5}$ and $\mathbb{F}_7$., Comment: 18 Pages, 7 figures

Published
2025

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