Singular hermitian metrics on vector bundles

DOI10.1515/crll.1998.091zbMath0902.32012arXivalg-geom/9708003OpenAlexW1979335422MaRDI QIDQ4215757

Mark Andrea A. De Cataldo

Publication date: 28 October 1998

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9708003

zbMATH Keywords

positivityvanishing theoremholomorphic vector bundles\(L^2\)-estimatessingular hermitian metricssemi-positivity\(t\)-nefness

Mathematics Subject Classification ID

Related Items (18)

SINGULAR HERMITIAN METRICS WITH ISOLATED SINGULARITIES ⋮ Modules of Square Integrable Holomorphic Germs ⋮ \(L^2\) estimates and vanishing theorems for holomorphic vector bundles equipped with singular Hermitian metrics ⋮ Lelong numbers and vector bundles ⋮ Boundary points, minimal \(L^2\) integrals and concavity property \(V\): vector bundles ⋮ Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi-Yau varieties ⋮ Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics ⋮ Seshadri constants for vector bundles ⋮ Singular Hermitian metrics on holomorphic vector bundles ⋮ Bergman kernels and the pseudoeffectivity of relative canonical bundles ⋮ On an asymptotic characterisation of Griffiths semipositivity ⋮ Nadel-Nakano vanishing theorems of vector bundles with singular Hermitian metrics ⋮ On the minimum convergence factor of a class of GSOR-like methods for augmented systems ⋮ Effective nonvanishing, effective global generation ⋮ Remarks on Seshadri constants of vector bundles ⋮ A complex Frobenius theorem, multiplier ideal sheaves and Hermitian-Einstein metrics on stable bundles ⋮ Positivity of twisted relative pluricanonical bundles and their direct images ⋮ New properties of multiplier submodule sheaves

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