May 10, 2024Open Access

Finite symplectic automorphism groups of supersingular K3 surfaces

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Resumen

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.

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Cite This Study

Ohashi et al. (Fri,) studied this question.

synapsesocial.com/papers/68e6ac5ab6db64358762ecab https://doi.org/https://doi.org/10.48550/arxiv.2405.06341

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4Geometrical finiteness for automorphism groups via cone conjecture2024
5Tracking the symmetries of ℤ3-orbifold K3s within the Mathieu groups2026

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