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math.AG2021
An inductive approach to generalized abundance using nef reduction
Priyankur Chaudhuri
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 th…
math.AG2021
Nef and abundant divisors, semiampleness and canonical bundle formula
Priyankur Chaudhuri
In this paper, we use canonical bundle formulas to prove some generalizations of an old theorem of Kawamata on the semiampleness of nef and abundant log canonical divisors. In part…