Hodge metrics and the curvature of higher direct images

DOI10.24033/asens.2084zbMath1167.14027arXiv0707.3551OpenAlexW1508426743MaRDI QIDQ3621195

Christophe Mourougane, Shigeharu Takayama

Publication date: 15 April 2009

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3551

zbMATH Keywords

relative canonical bundlesemi-positivityHodge metricdirect images bundlesNakano positive

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Holomorphic bundles and generalizations (32L05)

Related Items (17)

POSITIVELY CURVED FINSLER METRICS ON VECTOR BUNDLES ⋮ ALGEBRAIC FIBER SPACES AND CURVATURE OF HIGHER DIRECT IMAGES ⋮ A local ampleness criterion of torsion free sheaves ⋮ A Kollár-type vanishing theorem ⋮ A curvature formula associated to a family of pseudoconvex domains ⋮ Singular hermitian metrics and the decomposition theorem of Catanese, Fujita, and Kawamata ⋮ Singular Griffiths semi-positivity of higher direct images ⋮ Positivity of holomorphic vector bundles in terms of \(L^p\)-estimates for \(\bar{\partial}\) ⋮ Geometry of twisted Kähler-Einstein metrics and collapsing ⋮ Direct images, fields of Hilbert spaces, and geometric quantization ⋮ Kodaira dimension of algebraic fiber spaces over abelian varieties ⋮ Big vector bundles and complex manifolds with semi-positive tangent bundles ⋮ Positivity and vanishing theorems for ample vector bundles ⋮ Positivity of relative canonical bundles and applications ⋮ Curvature of higher direct images ⋮ Positivity of twisted relative pluricanonical bundles and their direct images ⋮ Positivity of vector bundles and Hodge theory

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