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<p>We show that the non-measure hyperbolicity of K3 surfaces—which M. Green and P. Griffiths verified for certain cases in 1980—holds for all K3 surfaces. As a byproduct, we prove the non-measure hyperbolicity of all Hilbert schemes of points on K3 surfaces. We also obtain a new proof of the non-measure hyperbolicity of any Enriques surface.</p>

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Non-measure hyperbolicity of K3 surfaces and Hilbert schemes of points on K3 surfaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月27日

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  • Gunhee Cho,
  • David R. Morrison

摘要

We show that the non-measure hyperbolicity of K3 surfaces—which M. Green and P. Griffiths verified for certain cases in 1980—holds for all K3 surfaces. As a byproduct, we prove the non-measure hyperbolicity of all Hilbert schemes of points on K3 surfaces. We also obtain a new proof of the non-measure hyperbolicity of any Enriques surface.