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<p>We prove that the weak Hilbert property ascends along a morphism of varieties over an arbitrary field of characteristic zero, under suitable assumptions.</p>

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A mixed fibration theorem for Hilbert irreducibility on non-proper varieties

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月10日

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  • Cedric Luger

摘要

We prove that the weak Hilbert property ascends along a morphism of varieties over an arbitrary field of characteristic zero, under suitable assumptions.