Annulation de la cohomologie pour des fibrés à courbure de signe variable sur une variété kählerienne. (Vanishing of the cohomology of fiber bundles on Kähler manifolds with a curvature of changing sign)

DOI10.1007/BF01762789zbMath0668.32028OpenAlexW2018672925MaRDI QIDQ1118075

Vincenzo Ancona, Bernard Gaveau

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01762789

zbMATH Keywords

vanishing theoremcohomology of holomorphic vector bundlescompact Kählerian manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Vanishing theorems (32L20)

Related Items

Two vanishing theorems for holomorphic vector bundles of mixed sign ⋮ \(L^p\)-estimates and existence theorems for the \(\bar \partial\)-operator on complete Kähler manifolds

Cites Work

• On complex analytic vector bundles
• Formules de la moyenne, calcul de perturbations et théoremes d'annulation pour les formes harmoniques
• Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
• On a Differential-Geometric Method in the Theory of Analytic Stacks
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item