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The purpose of this paper is to establish a Nadel vanishing theorem for bigline bundles with multiplier ideal sheaves of singular metrics admitting ananalytic Zariski decomposition (such as, metrics with minimal singularities andSiu's metrics). For this purpose, we apply the theory of harmonic integrals andgeneralize Enoki's proof of Koll'ar's injectivity theorem. Moreover weinvestigate the asymptotic behavior of harmonic forms with respect to a familyof regularized metrics.

A Nadel vanishing theorem for metrics with minimal singularities on big line bundles