no. G1
Algèbre
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

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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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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