Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 036-04. Minimal models in numerical dimension one
Manuscript map · lines 3315–3324
OpenAI@2026-10-07#rem:oai-p-036-04
Authors: OpenAI. Family 036.
Title: Minimal models in numerical dimension one.
Abstract: We resolve the numerical-dimension-one case of the minimal-model conjecture for smooth connected complex projective varieties of dimension at least three. If KX is pseudo-effective and ${}kappa_{}sigma(X,K_X)=1$, with κσ defined by section growth with a fixed ample twist, then X admits a projective ℚ-factorial terminal minimal model.
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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