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

Remark: 034-06. Fourfold nonvanishing by minimal metrics and moving jets

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OpenAI@2026-10-07#rem:oai-p-034-06

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Authors: OpenAI. Family 034.

Title: Fourfold nonvanishing by minimal metrics and moving jets.

Abstract: We prove canonical nonvanishing for smooth connected projective complex fourfolds: if KX is pseudo-effective, then $H{}0(X,mK_X){}ne0$ for some positive integer m.

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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