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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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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 |