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          "heading": "Stable pointed-family extension after a separable projective alteration",
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          "heading": "6. The normal level space and compact-type curves",
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          "heading": "7. A separable projective scheme cover",
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          "heading": "8. Normalizing the base and retaining the identifying isomorphism",
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          "heading_anchor": "8-normalizing-the-base-and-retaining-the-identifying-isomorphism",
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          "heading": "9. The stable pointed-family extension theorem",
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          "heading": "10. Foundations, sources and review status",
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          "heading": "11. Numerical completion of the long weighted chains",
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          "heading_anchor": "11-numerical-completion-of-the-long-weighted-chains",
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          "heading": "Regular surface models and exceptional-curve contraction",
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          "heading": "Exact admitted source and terms",
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          "heading": "Exact proof locators and dependency map",
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          "heading": "The precise excellent-trait bridge",
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          "heading": "Main components in normalized pullbacks",
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        {
          "heading": "Routine proof details extracted rather than silently ignored",
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          "heading": "Foundations retained, and integration boundary",
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