Mathematical Research Letters

Volume 30 (2023)

Number 4

On vanishing and torsion-freeness results for adjoint pairs

Pages: 1233 – 1252

DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n4.a9

Author

Fanjun Meng (Department of Mathematics, Northwestern University, Evanston, Illinois, U.S.A.)

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.

Full Text (PDF format)

Received 1 July 2021

Received revised 30 September 2021

Accepted 11 October 2021

Published 3 April 2024