A Nadel-type vanishing theorem concerning the asymptotic multiplier ideal sheaf

TL;DR

This paper proves a vanishing theorem related to asymptotic multiplier ideal sheaves on projective manifolds, extending the understanding of their cohomological properties in complex geometry.

Contribution

It introduces a Nadel-type vanishing theorem specifically for asymptotic multiplier ideal sheaves on projective manifolds, advancing the theoretical framework.

Findings

Establishment of a new vanishing theorem for asymptotic multiplier ideals

Extension of Nadel-type vanishing results to broader geometric contexts

Implications for the study of complex algebraic and analytic geometry

Abstract

In this paper we establish a Nadel-type vanishing theorem on a projective manifold $X$ concerning the asymptotic multiplier ideal sheaf.