Iitaka's subadditivity conjecture C(n,m), with its logarithmic form and Campana's orbifold form

Theorem 1.1: for a smooth compact connected manifold $X$ in Fujiki class $\mathcal C$ with rational SNC boundary $\Delta$ (coefficient one allowed) and a fibration $f:X\to Y$ onto a normal compact complex space, $\kappa(X,K_X+\Delta)\ge\kappa(F,K_F+\Delta_F)+\kappa(f\mid\Delta)$ for a very general fibre. Corollaries: logarithmic subadditivity for compatible reduced-SNC pairs, and ordinary $\kappa(X)\ge\kappa(F)+\kappa(Y)$ for projective fibre spaces over any algebraically closed field of characteristic zero. Not covered: positive characteristic, real or non-SNC boundaries, and the variation refinement, which is a separate entry.

Theorem 1.1: for a smooth compact connected manifold $X$ in Fujiki class $\mathcal C$ with rational SNC boundary $\Delta$ (coefficient one allowed) and a fibration $f:X\to Y$ onto a normal compact complex space, $\kappa(X,K_X+\Delta)\ge\kappa(F,K_F+\Delta_F)+\kappa(f\mid\Delta)$ for a very general fibre. Corollaries: logarithmic subadditivity for compatible reduced-SNC pairs, and ordinary $\kappa(X)\ge\kappa(F)+\kappa(Y)$ for projective fibre spaces over any algebraically closed field of characteristic zero. Not covered: positive characteristic, real or non-SNC boundaries, and the variation refinement, which is a separate entry.