Positivity of direct images of positively curved volume forms

DOI10.1007/s00209-014-1318-2zbMath1304.32022OpenAlexW1985509762MaRDI QIDQ463979

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

Publication date: 17 October 2014

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

Full work available at URL: https://doi.org/10.1007/s00209-014-1318-2

zbMATH Keywords

plurisubharmonic functionsholomorphic submersionscategorial quotient of a Stein manifoldpositively curved volume forms

Mathematics Subject Classification ID

Stein manifolds (32Q28) Stein spaces (32E10) Plurisubharmonic functions and generalizations (32U05) Holomorphically convex complex spaces, reduction theory (32E05) Complex spaces with a group of automorphisms (32M99)

Related Items (10)

From Hörmander's \(L^2\)-estimates to partial positivity ⋮ Linear invariants of complex manifolds and their plurisubharmonic variations ⋮ Siu's lemma, optimal \(L^2\) extension and applications to twisted pluricanonical sheaves ⋮ 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 ⋮ A converse of Hörmander's \(L^2\)-estimate and new positivity notions for vector bundles ⋮ Minimum principle for plurisubharmonic functions and related topics ⋮ Positivity of character subbundles and minimum principle for noncompact group actions ⋮ Proper holomorphic mappings between invariant domains in $\mathbb {C}^n$

Cites Work

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