paper

On vanishing and torsion-freeness results for adjoint pairs

arXiv:2106.11883 · doi:10.4310/MRL.2023.v30.n4.a9

Abstract

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 vanishing and weak positivity.

arXiv commentv2: minor changes; to appear in Math. Res. Lett.; 15 pages