Positively curved Finsler metrics on vector bundles. II

DOI10.2140/pjm.2023.326.161zbMath1529.32007arXiv2210.12645OpenAlexW4389790817MaRDI QIDQ6182835

Kuang-Ru Wu

Publication date: 21 December 2023

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

Full work available at URL: https://arxiv.org/abs/2210.12645

zbMATH Keywords

Griffiths positivity\(L^2\)-metricsKobayashi positivity

Mathematics Subject Classification ID

Holomorphic bundles and generalizations (32L05) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Other notions of convexity in relation to several complex variables (32F17)

Cites Work

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• Existence of approximate Hermitian-Einstein structures on semi-stable bundles
• A proof of the Ohsawa-Takegoshi theorem with sharp estimates
• Effective vanishing theorems for ample and globally generated vector bundles
• A characterization of ample vector bundles on a curve
• Positivity properties of toric vector bundles
• Positivity of direct image bundles and convexity on the space of Kähler metrics
• Concavity theorems
• An optimal \(L^2\) extension theorem on weakly pseudoconvex Kähler manifolds
• Finsler geometry of projectivized vector bundles
• On ampleness of vector bundles
• Complex Finsler vector bundles with positive Kobayashi curvature
• A note on Demailly's approach towards a conjecture of Griffiths
• An approach to the Griffiths conjecture
• A solution of an \(L^{2}\) extension problem with an optimal estimate and applications
• Curvature of vector bundles associated to holomorphic fibrations
• Ample vector bundles
• Some results in the theory of vector bundles
• Negative Vector Bundles and Complex Finsler Structures
• Extrapolation, a technique to estimate
• Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun
• Positivity and vanishing theorems for ample vector bundles
• Hermitian-Yang-Mills approach to the conjecture of Griffiths on the positivity of ample vector bundles
• POSITIVELY CURVED FINSLER METRICS ON VECTOR BUNDLES
• On Monge–Ampère Volumes of Direct Images
• The Hermitian curvature flow on manifolds with non-negative Griffiths curvature
• Hodge metrics and positivity of direct images
• Positivity preserving along a flow over projective bundle
• Superconnection and family Bergman kernels

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