Curvature positivity of invariant direct images of Hermitian vector bundles

DOI10.1007/s10231-022-01265-zOpenAlexW4294860877WikidataQ114228114 ScholiaQ114228114MaRDI QIDQ2687963

Jinjin Hu, Weiwen Jiang, Fu Sheng Deng

Publication date: 7 March 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.01173

zbMATH Keywords

group actiondirect imagepseudoconvex domainNakano positive vector bundle

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

Related Items (1)

Characterizations of curvature positivity of Riemannian vector bundles and convexity or pseudoconvexity of bounded domains in \(\mathbb{R}^n\) or \(\mathbb{C}^n\) in terms of \(L^2\)-estimate of \(d\) or \(\overline{\partial}\) equation

Cites Work

• Unnamed Item
• Positivity of direct images of positively curved volume forms
• Singular Hermitian metrics on holomorphic vector bundles
• Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains
• Bergman kernels and the pseudoeffectivity of relative canonical bundles
• The partial Legendre transformation for plurisubharmonic functions
• Prekopa's theorem and Kiselman's minimum principle for plurisubharmonic functions
• On matrix-valued log-concavity and related Prékopa and Brascamp-Lieb inequalities
• Characterizations of plurisubharmonic functions
• Positivity of character subbundles and minimum principle for noncompact group actions
• Curvature of vector bundles associated to holomorphic fibrations
• Modules of Square Integrable Holomorphic Germs

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