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.

Saved in:
Bibliographic Details
Main Authors Benozzo, Marta, Brivio, Iacopo, Chang, Chi-Kang
Format Journal Article
LanguageEnglish
Published 28.09.2023
Subjects
Mathematics - Algebraic Geometry
Online AccessGet full text

Cover

More Information
Summary: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.
DOI:10.48550/arxiv.2309.16580