56:14
publiée le 20 juin 2025
A family of Fano manifolds obtained as linear sections of the spinor tenfold
De Laurent Manivel
Kodaira dimension of algebraic fiber spaces over abelian varieties or projective surfaces
De Junyan Cao
Apparaît dans la 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.
