What was already known
Campana–Claudon established the abelianity conjecture for compact Kähler threefolds and reduced parts of the projective problem. Linear quotient results did not control full fundamental groups with no infinite finite-dimensional linear image (manuscript introduction, Prior work, p. 5).
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 abelianity conjecture in all dimensions for special compact Kähler manifolds.
Limitations
The theorem assumes smooth compact Kähler specialness; its Kodaira-dimension-zero consequence follows from a separate established specialness implication.
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