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

Remark: 035-02. Abundance in numerical dimension one for terminal threefolds in positive characteristic

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Authors: OpenAI. Family 035.

Title: Abundance in numerical dimension one for terminal threefolds in positive characteristic.

Abstract: Let X be a projective ℚ-factorial terminal threefold over an algebraically closed field of characteristic p > 3. We prove the numerical-dimension-one case of abundance: if KX is nef with ${}nu(K_X)=1$, then KX is semiample and ${}kappa(X,K_X)=1$.

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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