A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2023; you can also visit the original URL.
The file type is application/pdf.
An inductive approach to generalized abundance using nef reduction
2023
Comptes Rendus. Mathématique
Preserved Fulltext
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.
doi:10.5802/crmath.420
fatcat:vivrklhs5jhubhrwo4zq7jfn24