The classification of purely non-symplectic automorphisms of high order on K3 surfaces

Simon Brandhorst

doi:10.1016/j.jalgebra.2019.05.016

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arXiv · 1604.08875

The classification of purely non-symplectic automorphisms of high order on K3 surfaces

Simon Brandhorst

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Abstract

An automorphism of order $n$ of a K3 surface is called purely non-symplectic if it multiplies the holomorphic symplectic form by a primitive $n$-th root of unity. We give the classification of purely non-symplectic automorphisms with $φ(n)\geq 12$ where $φ$ denotes the Euler totient function.

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Simon Brandhorst. 2022-03-27. The classification of purely non-symplectic automorphisms of high order on K3 surfaces. https://doi.org/10.1016/j.jalgebra.2019.05.016

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