Possible 3-divisible A2^n configurations of smooth rational curves on K3 surfaces in char 3 are described and the resulting triple covers are fully classified.
Finite symplectic automorphism groups of supersingular K3 surfaces
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abstract
We give a complete classification of finite groups acting symplectically on supersingular K3 surfaces of Artin invariant one. Using work of Dolgachev and Keum, this provides the full classification of tame finite symplectic automorphism groups on any K3 surface, and in particular of all finite symplectic automorphism groups on K3 surfaces in characteristic p>11.
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2026 1verdicts
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The 3-divisibility of divisors on K3 surfaces in characteristic 3
Possible 3-divisible A2^n configurations of smooth rational curves on K3 surfaces in char 3 are described and the resulting triple covers are fully classified.