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A weak Kawamata-Viehweg Vanishing Theorem

Thomas Eckl
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Abstract

Using the techniques of J.-P. Demailly and Th. Peternell in math.AG/0208021 a weak version of Kawamata-Viehweg vanishing is proven for pseudo-effective line bundles on compact Kaehler manifolds. It is a weak version, since one has to adjust the line bundle $K_X + L$ with the upper regularized multiplier ideal sheaf $I_+(L)$ of $L$, and this is already not optimal in the nef case.

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Thomas Eckl. 2003-07-02. A weak Kawamata-Viehweg Vanishing Theorem. https://arxiv.org/abs/math/0307023

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