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<p>Let <i>τ</i> be an automorphism of prime order of a surface <i>S</i> of general type. In this paper, we obtain the optimal upper bound on the order of <i>τ</i>. Moreover, any surface with an automorphism of prime order of maximal order is shown to be a Horikawa-surface.</p>

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Automorphism of prime order of a surface of general type

  • 期刊论文

  • 发表日期：

    2026年4月7日

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  • Xin Lü,
  • Shengli Tan,
  • Kang Zuo

摘要

Let τ be an automorphism of prime order of a surface S of general type. In this paper, we obtain the optimal upper bound on the order of τ. Moreover, any surface with an automorphism of prime order of maximal order is shown to be a Horikawa-surface.