Relative Bertini type theorem for multiplier ideal sheaves

Abstract

We establish a relative Bertini type theorem for multiplier ideal sheaves. Then we prove a relative version of the Kollár--Nadel type vanishing theorem as an application.

17 pages, v2: many mistakes were corrected, v3: very minor corrections

References in corpus (1)

• Kollár--Nadel type vanishing theorem

Cited by in corpus (1)

• Injectivity theorem for pseudo-effective line bundles and its applications