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

研究成果: Article査読

8 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)188-207
ページ数20
ジャーナルAdvances in Mathematics
280
DOI
出版ステータスPublished - 2015 8 6

ASJC Scopus subject areas

  • Mathematics(all)

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