Kodaira dimension of algebraic fiber spaces over abelian varieties or projective surfaces
By Junyan Cao
Appears in collection : Singular metrics in complex Kähler geometry / Métriques singulières en géométrie complexe Kählérienne
Let $f : X \to Y$ be a fibration between two projective manifolds. The Iitaka’s conjecture predicts that the Kodaira dimension of $X$ is larger than the sum of the Kodaira dimension of $X$ and the Kodaira dimension of the generic fiber. We explain a proof of the Iitaka conjecture for algebraic fiber spaces over abelian varieties or projective surfaces. It is a joint work with Mihai Paun.
