What was already known
Prior subadditivity results covered general-type fibers or bases, abundant log-canonical fibers, lower total dimension, and special base geometries such as tori or maximal Albanese dimension. Campana’s inf-multiplicity orbifold formulation lacked a uniform proof in the stated class-C, rational-boundary generality (manuscript introduction, pp. 1–3).
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 Campana’s rational-SNC orbifold Iitaka subadditivity conjecture and yields ordinary and logarithmic subadditivity as consequences.
Limitations
The theorem assumes a smooth Fujiki-class-C source, rational SNC boundary, connected fibers, and the specified orbifold-base invariant. Earlier general ordinary inequalities were announced in other preprints; the paper presents its own proof and does not use those announcements.
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