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arXiv · 2605.06252

An explicit formula for the Artin invariant of smooth K3 hypersurfaces

Teppei Takamatsu·Shou Yoshikawa
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Abstract

We characterize the Artin invariant of a smooth K3 hypersurface in terms of quasi-$F$-splitting. As an application, we obtain an explicit formula for this invariant.

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Teppei Takamatsu, Shou Yoshikawa. 2026-05-07. An explicit formula for the Artin invariant of smooth K3 hypersurfaces. https://arxiv.org/abs/2605.06252

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