Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: Family 037. The sharp ordinary-double-point volume gap

Family claims › Algebraic and complex geometry · lines 410–415

OpenAI@2026-10-07#rem:oai-037

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Proves the ordinary-double-point volume-gap conjecture: every singular complex algebraic klt germ of dimension , with zero boundary, has normalized volume at most . Equality holds precisely for an analytic ordinary double point.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.

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