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The 3-divisibility of divisors on K3 surfaces in characteristic 3

Algebraic Geometry 2026-04-29 v1

Abstract

We describe the possible 3-divisible A2nA_2^n configurations of smooth rational curves on K3 surfaces in characteristic 3 and fully classify the resulting triple covers.

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Cite

@article{arxiv.2604.25227,
  title  = {The 3-divisibility of divisors on K3 surfaces in characteristic 3},
  author = {Toshiyuki Katsura and Matthias Schütt},
  journal= {arXiv preprint arXiv:2604.25227},
  year   = {2026}
}

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26 pages