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math.AG2021★ 3 cited
Kodaira dimension of fibrations over abelian varieties
Fanjun Meng, Mihnea Popa
We prove an additivity result for the log Kodaira dimension of algebraic fiber spaces over abelian varieties, a superadditivity result for fiber spaces over varieties of maximal Al…
math.AG2021
On vanishing and torsion-freeness results for adjoint pairs
Fanjun Meng
We prove some vanishing and torsion-freeness results for higher direct images of adjoint pairs satisfying relative abundance and nefness conditions. These are applied to generic va…