Remark: Family 033. Campana's orbifold Iitaka conjecture and logarithmic subadditivity

Proves Campana's orbifold Iitaka subadditivity conjecture for smooth Fujiki-class-$\mathcal{C}$ manifolds with rational simple-normal-crossing boundaries. For projective fibrations $f:U\to V$ of smooth complex quasi-projective varieties with connected fibers, general fiber $F$, and $\bar{\kappa }(V)\ge 0$, proves Popa's inequality $\bar{\kappa }(U)\ge \kappa (F)+\max \{\bar{\kappa }(V),\mathrm{Var}(f)\}$, where variation measures the whole geometric generic fiber.

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.