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<p>We use the LLV algebra to describe the action of a finite order automorphism on the total cohomology of a manifold of OG10 type. As an application, we prove that no Enriques manifolds arise as étale quotients of hyper-Kähler manifolds of OG10 type. This answers a question raised in [10].</p>

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Non-existence of enriques manifolds from OG10 type manifolds

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月2日

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  • Simone Billi,
  • Franco Giovenzana,
  • Luca Giovenzana,
  • Annalisa Grossi

摘要

We use the LLV algebra to describe the action of a finite order automorphism on the total cohomology of a manifold of OG10 type. As an application, we prove that no Enriques manifolds arise as étale quotients of hyper-Kähler manifolds of OG10 type. This answers a question raised in [10].