The Kawamata--Viehweg--Nadel-type vanishing theorem and the asymptotic multiplier ideal sheaf

Jingcao Wu

doi:10.1007/s00209-022-03098-1

paper

The Kawamata--Viehweg--Nadel-type vanishing theorem and the asymptotic multiplier ideal sheaf

arXiv:2208.10021 · doi:10.1007/s00209-022-03098-1

Abstract

In this paper we establish a Nadel-type vanishing theorem and a Kawamata--Viehweg-type vanishing theorem concerning the asymptotic multiplier ideal sheaf on a compact Kähler manifold $X$ . After that, we provide a relative variant.

To appear in Math.Z. This is an improvement of our previous work 2107.01769. Comments are welcome!