On cohomology groups of nef line bundles tensorized with multiplier ideal sheaves on compact Kähler manifolds

zbMath0895.32008MaRDI QIDQ1382129

Kensho Takegoshi

Publication date: 25 March 1998

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Kähler manifoldnumerically effective line bundlenef line bundlecompact Kähler manifoldvanishing theoremspositive vector bundleKähler metricHodge star operatorcoherent analytic sheafmultiplier ideal sheafbig line bundlenumerical Kodaira dimensionalmost plurisubharmonic functionhermitian metric on vector bundlespositive holomorphic vector bundle

Mathematics Subject Classification ID

Related Items (10)

Injectivity Theorems with Multiplier Ideal Sheaves and Their Applications ⋮ Pseudo-effective line bundles over holomorphically convex manifolds ⋮ On an injectivity theorem for log-canonical pairs with analytic adjoint ideal sheaves ⋮ Some applications of the theory of harmonic integrals ⋮ Hyperkähler SYZ conjecture and semipositive line bundles ⋮ On the Cohomology of Pseudoeffective Line Bundles ⋮ On the hard Lefschetz theorem for pseudoeffective line bundles ⋮ Pullbacks of hyperplane sections for Lagrangian fibrations are primitive ⋮ An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities ⋮ Effectivity of semi-positive line bundles

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