Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 037-02. The normalized-volume gap in dimension four
Manuscript map · lines 3335–3344
OpenAI@2026-10-07#rem:oai-p-037-02
Authors: OpenAI. Family 037.
Title: The normalized-volume gap in dimension four.
Abstract: We prove that every singular complex algebraic klt fourfold germ with zero boundary has normalized volume at most 162, with equality precisely for an analytic ordinary double point. This resolves the ordinary-double-point volume-gap conjecture in dimension four.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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