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  "family_id": "032",
  "title": "The rational Hodge conjecture for CM abelian varieties",
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      "title": "The rational Hodge conjecture for CM abelian varieties",
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      "title": "Algebraic Kuga–Satake correspondences and Hodge conjectures on a K3 quadratic locus",
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    {
      "title": "Weil classes and Hodge classes on abelian powers",
      "path": "preprints/Weil-classes-and-Hodge-classes-on-abelian-powers-October-6-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Weil-classes-and-Hodge-classes-on-abelian-powers-October-6-2026/paper.pdf",
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    {
      "title": "Abelian covers, Gale correspondences, and the Hodge conjecture for powers",
      "path": "preprints/Abelian-covers-Gale-correspondences-and-the-Hodge-conjecture-for-powers-October-6-2026/paper.pdf",
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    },
    {
      "title": "A Conditional Reduction for Algebraic Kuga–Satake Correspondences",
      "path": "preprints/A-Conditional-Reduction-for-Algebraic-Kuga-Satake-Correspondences-September-10-2026/paper.pdf",
      "url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/A-Conditional-Reduction-for-Algebraic-Kuga-Satake-Correspondences-September-10-2026/paper.pdf",
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