Communications in Analysis and Geometry

Volume 31 (2023)

Number 4

A generalization of Kawamata–Viehweg vanishing theorem

Pages: 895 – 903

DOI: https://dx.doi.org/10.4310/CAG.2023.v31.n4.a5

Authors

Xiankui Meng (School of Science, Beijing University of Posts and Telecommunications, Beijing, China)

Xiangyu Zhou (Department of Mathematics, Shanghai University, Shanghai, China, and Institute of Mathematics, AMSS, Chinese Academy of Sciences, Beijing, China)

Abstract

We prove a generalized version of Kawamata-Viehweg vanishing theorem for divisor $L$ when some multiple $mL$ is a sum of a nef divisor and of a pseudo-effective divisor.

Full Text (PDF format)

The first author was partially supported by NSFC-11901046, the second author was partially supported by NSFC-11688101.

Received 26 March 2020

Accepted 3 February 2021

Published 16 July 2024