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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Main Authors Benozzo, Marta, Brivio, Iacopo, Chang, Chi-Kang
Format Journal Article
LanguageEnglish
Published 28.09.2023
Subjects
Mathematics - Algebraic Geometry
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Abstract 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.
AbstractList 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.
Author Benozzo, Marta
Chang, Chi-Kang
Brivio, Iacopo
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  surname: Chang
  fullname: Chang, Chi-Kang
BackLink https://doi.org/10.48550/arXiv.2309.16580$$DView paper in arXiv
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Snippet 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...
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SubjectTerms Mathematics - Algebraic Geometry
Title Superadditivity of anticanonical Iitaka dimension for contractions with F-split fibres
URI https://arxiv.org/abs/2309.16580
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