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arXiv · 2208.10021

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

Jingcao Wu
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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 K\"{a}hler manifold $X$. After that, we provide a relative variant.

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Jingcao Wu. 2022-08-22. The Kawamata--Viehweg--Nadel-type vanishing theorem and the asymptotic multiplier ideal sheaf. https://doi.org/10.1007/s00209-022-03098-1

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