Two vanishing theorems for holomorphic vector bundles of mixed sign

DOI10.1007/BF02571920zbMath0823.32013OpenAlexW1967130268MaRDI QIDQ1895757

Thierry Bouche

Publication date: 13 August 1995

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

Full work available at URL: https://eudml.org/doc/174745

zbMATH Keywords

holomorphic vector bundleheat kernelvanishing theoremsmixed sign curvaturesemi-positive curvature

Mathematics Subject Classification ID

Holomorphic bundles and generalizations (32L05) Vanishing theorems (32L20)

Related Items (3)

Asymptotic expansion of the Bergman kernel via semi-classical symbolic calculus ⋮ Asymptotic purity for very general hypersurfaces of \(\mathbb P^{n } \times \mathbb P^{n }\) of bidegree \((k, k)\) ⋮ \(L^p\)-estimates and existence theorems for the \(\bar \partial\)-operator on complete Kähler manifolds

Cites Work

• A local index theorem for non-Kähler manifolds
• 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)
• The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
• Convergence de la mêtrique de Fubini-Study d'un fibré linéaire positif. (Convergence of the Fubini-Study metric of a positive line bundle.)
• Positive line bundles on arithmetic surfaces
• A generalization of Kodaira's embedding theorem
• First Chern class and holomorphic tensor fields

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