An inductive approach to generalized abundance using nef reduction

We use the canonical bundle formula for parabolic fibrations to give an inductive approach to the generalized abundance conjecture using nef reduction. In particular, we observe that generalized abundance holds for a klt pair $(X,B)$ if the nef dimension $n(K_X+B+L)=2$ and $K_X+B \ge 0$ or $n(K_X+B+...

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Bibliographic Details
Main Author: Chaudhuri, Priyankur
Format: Article
Language:English
Published: Académie des sciences 2023-01-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.420/
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