What was already known
The sharp n+1 threshold was known in several low dimensions, while general-dimensional results required larger twists. The targeted advance attains the sharp threshold in every dimension.
What changed and why it matters
Attains the sharp general-dimensional global-generation threshold predicted by Fujita’s freeness conjecture.
The AI contribution
OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.
Limitations
Global generation is weaker than very ampleness. The claim does not settle the separate very-ampleness assertion, and the smooth complex-projective hypotheses matter. Preprint. This is a source-statement and significance assessment, not a proof audit. No independent checking or successful formal compilation is asserted by this entry.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The publisher reports the scoped result. AIProofWatch has not independently validated its correctness.
Accessible artifact / proof
The original written argument is accessible. Availability does not establish a successful proof check or Lean verification.
Correction and publication history
Historical report added after statement, scope, and importance review. No proof audit or formal checking asserted; subscriber alerts disabled.
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