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

作者：Wu, Jingcao^*

来源：Mathematische Zeitschrift, 2022, 302(3): 1393-1407.

DOI：10.1007/s00209-022-03098-1

• Vanishing theorem
• Asymptotic multiplier ideal sheaf
• Pseudo-effective line bundle

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 Kahler manifold X. After that, we provide a relative variant.