Remark: Family 038. Fujita's freeness conjecture

Proves Fujita's freeness conjecture at its sharp bound in every dimension: for a smooth projective complex variety $X$ of dimension $n$ and an ample line bundle $L$, the adjoint $K_X+mL$ is globally generated for every integer $m\ge n+1$.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.