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An inductive approach to generalized abundance using nef reduction
Priyankur Chaudhuri1 
1 Department of Mathematics, University of Maryland, College Park, MD 20742, USA
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 417-421.

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≥0 or n(K X +B+L)=3 and κ(K X +B)>0.

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DOI : 10.5802/crmath.420
Priyankur Chaudhuri 1

1 Department of Mathematics, University of Maryland, College Park, MD 20742, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Priyankur Chaudhuri. An inductive approach to generalized abundance using nef reduction. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 417-421. doi : 10.5802/crmath.420. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.420/

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