Positivity of character subbundles and minimum principle for noncompact group actions

DOI10.1007/s00209-016-1767-xzbMath1432.32021OpenAlexW2533137774MaRDI QIDQ2277915

Xiang-Yu Zhou, Hui Ping Zhang, Fu Sheng Deng

Publication date: 7 June 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-016-1767-x

zbMATH Keywords

holomorphic vector bundlesholomorphic fibrations

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Holomorphic bundles and generalizations (32L05)

Related Items (7)

Linear invariants of complex manifolds and their plurisubharmonic variations ⋮ Siu's lemma, optimal \(L^2\) extension and applications to twisted pluricanonical sheaves ⋮ On the restriction formula ⋮ A new proof of Kiselman's minimum principle for plurisubharmonic functions ⋮ Curvature positivity of invariant direct images of Hermitian vector bundles ⋮ Recent results in several complex variables and complex geometry ⋮ Minimum principle for plurisubharmonic functions and related topics

Cites Work

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• Prekopa's theorem and Kiselman's minimum principle for plurisubharmonic functions
• Reductive group actions on Stein spaces
• Lie groups and Lie algebras II. Transl. from the Russian by John Danskin
• Curvature of vector bundles associated to holomorphic fibrations
• The Openness Conjecture and Complex Brunn-Minkowski Inequalities
• Lie groups beyond an introduction

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