A Nadel vanishing theorem for metrics with minimal singularities on big line bundles
A Nadel vanishing theorem for metrics with minimal singularities on big line bundles
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DOI：
10.1016/j.aim.2015.03.019
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发表时间：
2013-06
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影响因子：
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通讯作者：
Shin-ichi Matsumura
中科院分区：
文献类型：
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作者：
Shin-ichi Matsumura
本文的目的是建立具有解析Zariski分解的奇异度量乘子理想束的大线束（如极小奇点度量和Siu度量）的Nadel消失定理。为此，我们应用调和积分理论，推广了Enoki对Kollár注入定理的证明。此外，我们研究了调和形式对一组正则度量的渐近行为。
The purpose of this paper is to establish a Nadel vanishing theorem for big line bundles with multiplier ideal sheaves of singular metrics admitting an analytic Zariski decomposition (such as, metrics with minimal singularities and Siu's metrics). For this purpose, we apply the theory of harmonic integrals and generalize Enoki's proof of Kollár's injectivity theorem. Moreover we investigate the asymptotic behavior of harmonic forms with respect to a family of regularized metrics.