A Nadel vanishing theorem via injectivity theorems

DOI10.1007/s00208-014-1018-6zbMath1327.14092OpenAlexW1987606544WikidataQ123159074 ScholiaQ123159074MaRDI QIDQ2509870

Shin-ichi Matsumura

Publication date: 31 July 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-014-1018-6

zbMATH Keywords

multiplier ideal sheafmetric with minimal singularitiessingular metricinjectivity theoremharmonic integralsNadel vanishing theorem

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Vanishing theorems (32L20) Multiplier ideals (14F18)

Related Items (15)

Injectivity Theorems with Multiplier Ideal Sheaves and Their Applications ⋮ \(L^2\) extensions with singular metrics on Kähler manifolds ⋮ Effectiveness of Demailly's strong openness conjecture and related problems ⋮ Some Kollár-Enoki type injectivity theorems on compact Kähler manifolds ⋮ \(L^2\)-Dolbeault resolution of the lowest Hodge piece of a Hodge module ⋮ The growth of dimension of cohomology of semipositive line bundles on Hermitian manifolds ⋮ Recent results in several complex variables and complex geometry ⋮ Some applications of the theory of harmonic integrals ⋮ Equivalence of plurisubharmonic singularities and Siu-type metrics ⋮ Injectivity theorem for pseudo-effective line bundles and its applications ⋮ Cohomology dimension growth for Nakano \(q\)-semipositive line bundles ⋮ The Kawamata-Viehweg-Nadel-type vanishing theorem and the asymptotic multiplier ideal sheaf ⋮ An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities ⋮ A Nadel vanishing theorem for metrics with minimal singularities on big line bundles ⋮ Extension of cohomology classes and holomorphic sections defined on subvarieties

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