What was already known
Chen’s long-time existence conjecture predicted smooth Calabi flow from arbitrary smooth Kähler data. Prior extension criteria required scalar-curvature control; no counterexample was known in a class already containing a constant-scalar-curvature metric.
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
Disproves smooth long-time existence for Calabi flow even in the Fubini–Study class.
Limitations
The constructed initial metric is U(10)-invariant and the example is in complex dimension ten; no lower-dimensional assertion is made.
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; technical verification remains Reported.
Read this published revision