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

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Campana 2011, Orbifoldes geometriques speciales (Conjecture 6.1) evidence for this event

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. parent of this event

VibeMathed record: Iitaka's subadditivity conjecture C(n,m), with its logarithmic form and Campana's orbifold form evidence for this event

Popa's logarithmic additivity conjecture for log-smooth families evidence for this event

Projective Hodge lines and ordinary Iitaka subadditivity evidence for this event

Orbifold and logarithmic Iitaka subadditivity evidence for this event

B-semiampleness for compact log-smooth Kahler fibrations evidence for this event

Iitaka 1977, Classification of Algebraic Varieties evidence for this event

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

Viehweg's conjecture C(n,m)+ and Popa's logarithmic Iitaka-Viehweg inequality evidence for this event