Remark: Family 066. Bounded klt complements for Fano contractions

Proves the finite-rational-coefficient form of Shokurov’s bounded-klt-complement conjecture for $ϵ$-lc complex Fano-type pairs with nef anti-log-canonical divisor. For $ϵ$-lc Fano contractions over any algebraically closed characteristic-zero field, it gives klt complements near every base point, with index bounded only by dimension and positive rational $ϵ$.

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.