Superadditivity of anticanonical Iitaka dimension for contractions with F-split fibres

Superadditivity of anticanonical Iitaka dimension for contractions with F-split fibres

Given a fibration $f: X \to Y$ with general fibre $X_y$, over a field of positive characteristic, we establish the Iitaka-type inequality $\kappa(X,-K_X) \leq \kappa(X_y,-K_{X_y})+\kappa(Y,-K_Y)$ whenever $X_y$ has good F-singularities.

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Hauptverfasser: Benozzo, Marta, Brivio, Iacopo, Chang, Chi-Kang
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Brivio, Iacopo
Chang, Chi-Kang
description Given a fibration $f: X \to Y$ with general fibre $X_y$, over a field of positive characteristic, we establish the Iitaka-type inequality $\kappa(X,-K_X) \leq \kappa(X_y,-K_{X_y})+\kappa(Y,-K_Y)$ whenever $X_y$ has good F-singularities.
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title Superadditivity of anticanonical Iitaka dimension for contractions with F-split fibres
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