English

An explicit formula for the Artin invariant of smooth K3 hypersurfaces

Algebraic Geometry 2026-05-08 v1

Abstract

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

Keywords

Cite

@article{arxiv.2605.06252,
  title  = {An explicit formula for the Artin invariant of smooth K3 hypersurfaces},
  author = {Teppei Takamatsu and Shou Yoshikawa},
  journal= {arXiv preprint arXiv:2605.06252},
  year   = {2026}
}

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43 pages