Curvatures of direct image sheaves of vector bundles and applications

DOI10.4310/jdg/1406137696zbMath1293.32031arXiv1303.2701OpenAlexW2963767174WikidataQ115168383 ScholiaQ115168383MaRDI QIDQ2509579

Ke Feng Liu, Xiao Kui Yang

Publication date: 28 July 2014

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2701

zbMATH Keywords

curvaturedirect imageHermitian holomorphic vector bundle

Mathematics Subject Classification ID

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05) Bundle convexity (32L15)

Related Items (9)

POSITIVELY CURVED FINSLER METRICS ON VECTOR BUNDLES ⋮ A curvature formula associated to a family of pseudoconvex domains ⋮ Positivity of holomorphic vector bundles in terms of \(L^p\)-estimates for \(\bar{\partial}\) ⋮ Geodesic-Einstein metrics and nonlinear stabilities ⋮ Holomorphic sectional curvature of complex Finsler manifolds ⋮ Big vector bundles and complex manifolds with semi-positive tangent bundles ⋮ Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves ⋮ Kähler geometry on Hurwitz spaces ⋮ Boundary asymptotics of the relative Bergman kernel metric for curves

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