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 if the nef dimension and or and .
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Priyankur Chaudhuri 1
@article{CRMATH_2023__361_G1_417_0, author = {Priyankur Chaudhuri}, title = {An inductive approach to generalized abundance using nef reduction}, journal = {Comptes Rendus. Math\'ematique}, pages = {417--421}, publisher = {Acad\'emie des sciences, Paris}, volume = {361}, year = {2023}, doi = {10.5802/crmath.420}, language = {en}, }
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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