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<p>We give an answer to the Nielsen realization problem for hyper-Kähler manifolds in analogy to the case of K3 surfaces. We determine that, for some of the known deformation types, the representation of the mapping class group on the second cohomology admits a section on its image.</p>

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A note on the Nielsen realization problem for hyper-Kähler manifolds

  • 期刊论文

  • 发表日期：

    2025年4月24日

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  • Simone Billi

摘要

We give an answer to the Nielsen realization problem for hyper-Kähler manifolds in analogy to the case of K3 surfaces. We determine that, for some of the known deformation types, the representation of the mapping class group on the second cohomology admits a section on its image.