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An inductive approach to generalized abundance using nef reduction
Chaudhuri, Priyankur1 
1 Department of Mathematics, University of Maryland, College Park, MD 20742, USA
Comptes Rendus. Mathématique, Tome 361 (2023) no. G1, pp. 417-421

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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

Chaudhuri, Priyankur 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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     title = {An inductive approach to generalized abundance using nef reduction},
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Chaudhuri, Priyankur. An inductive approach to generalized abundance using nef reduction. Comptes Rendus. Mathématique, Tome 361 (2023) no. G1, pp. 417-421. doi: 10.5802/crmath.420

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