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<p>A purely non-symplectic automorphism of order <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( n \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>n</mi> </math></EquationSource> </InlineEquation> of a normal <i>K</i>3 surface is one that acts on a holomorphic symplectic two-form by multiplication with a primitive <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\( n \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>n</mi> </math></EquationSource> </InlineEquation>-th root of unity. Building upon the classification of the orders of purely non-symplectic automorphisms of <i>K</i>3 surfaces, we determine the orders of purely non-symplectic automorphisms of normal <i>K</i>3 surfaces.</p>

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Orders of Purely Non-Symplectic Automorphisms of Normal K3 Surfaces

  • 期刊论文

  • 发表日期：

    2025年12月24日

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  • Taro Hayashi

摘要

A purely non-symplectic automorphism of order \( n \) n of a normal K3 surface is one that acts on a holomorphic symplectic two-form by multiplication with a primitive \( n \) n -th root of unity. Building upon the classification of the orders of purely non-symplectic automorphisms of K3 surfaces, we determine the orders of purely non-symplectic automorphisms of normal K3 surfaces.