Some applications of the theory of harmonic integrals

DOI10.1515/coma-2015-0003zbMath1405.32025OpenAlexW2406966222MaRDI QIDQ490704

Shin-ichi Matsumura

Publication date: 28 August 2015

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/coma-2015-0003

zbMATH Keywords

multiplier ideal sheaves\(L^2\)-methodsinjectivity theoremssingular metricstheory of harmonic integrals

Mathematics Subject Classification ID

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Vanishing theorems (32L20) Multiplier ideals (14F18)

Related Items (3)

Some Kollár-Enoki type injectivity theorems on compact Kähler manifolds ⋮ Injectivity theorem for pseudo-effective line bundles and its applications ⋮ An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities

Cites Work

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• A transcendental approach to Kollár's injectivity theorem II
• Versions of injectivity and extension theorems
• An injectivity theorem with multiplier ideal sheaves of singular metrics with transcendental singularities
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
• PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS
• ON $n$-DIMENSIONAL CANONICALLY POLARIZED VARIETIES AND VARIETIES OF FUNDAMENTAL TYPE

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