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arXiv · 2610.25251

Finite Symplectic Automorphism Groups of K3 Surfaces in Characteristic Seven

Bin Wang·Zhiwei Zheng
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Abstract

We classify all finite groups of order divisible by $7$ that admit a faithful symplectic action on a K3 surface over an algebraically closed field of characteristic seven, together with the possible heights and Artin invariants. Combined with the known classification of tame actions, this gives the complete list of finite groups admitting such an action in characteristic seven.

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Bin Wang, Zhiwei Zheng. 2026-10-18. Finite Symplectic Automorphism Groups of K3 Surfaces in Characteristic Seven. https://arxiv.org/abs/2610.25251

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