What was already known
Yau posed the positive-multiple anticanonical nonvanishing question. Structural decompositions under semipositive curvature were known, but descending an anticanonical section through residual monodromy remained an obstacle (manuscript introduction, pp. 1–2).
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Resolves the smooth-semipositivity form of Yau’s anticanonical nonvanishing question in every dimension.
Limitations
The conclusion concerns some positive power, not necessarily the first; smooth metric semipositivity is stronger than numerical nefness alone.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, and prior-work review for non-notifying local inclusion.
Read this published revision