Superadditivity of anticanonical Iitaka dimension for contractions with F-split fibres
| Autor: | Benozzo, Marta, Brivio, Iacopo, Chang, Chi-Kang |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 31 pages. (v2) Improved exposition, strengthened results, added sections 7 and 8 |
| Databáze: | arXiv |
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