An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities

研究成果: Article査読

9 被引用数 (Scopus)

抄録

The purpose of this paper is to establish an injectivity theorem generalized to pseudo-effective line bundles with transcendental (non-Algebraic) singular hermitian metrics and multiplier ideal sheaves. As an application, we obtain a Nadel type vanishing theorem. For the proof, we study the asymptotic behavior of the harmonic forms with respect to a family of regularized metrics, and give a method to obtain L2-estimates of solutions of the ℓ-equation by using the de Rham-Weil isomorphism between the ℓ-cohomology and the Cech cohomology.

本文言語English
ページ(範囲)305-337
ページ数33
ジャーナルJournal of Algebraic Geometry
27
2
DOI
出版ステータスPublished - 2018

ASJC Scopus subject areas

  • 代数と数論
  • 幾何学とトポロジー

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